Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. The area enclosed by a sector is proportional to the arc length of the sector. getcalc.com's circle sector calculator is an online basic geometry tool to calculate area of sector & length of an arc (partial circumference length), in both US customary & metric (SI) units. How to Calculate the Area of a Sector and the Length of an Arc. Area of an arch given height and radius. The area of the sector is the specific part having a definite arc or angle in the whole circle. FAQ. About Area of A Sector Calculator . Area of an elliptical sector. … Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. How to calculate the area of any shape? Area of a sector is a fractions of the area of a circle. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. All it needs is; the radius and angle to find the area of sector. ", "acceptedAnswer": { "@type": "Answer", "text": "

Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm². There are different tools for measuring angles, depending on your particular situation. Use this calculator to easily calculate the area of a sector given its radius and angle. Both can be calculated using the angle at the centre and the diameter or radius. The area of a circle is the number of square units it takes to fill up the inside of the circle.. The angle between the two radii is called as the angle of surface and is used to find the radius of the sector. Do NOT confuse a 'sector' with a 'segment'. It will also calculate the area of the sector with that same central angle. This tool can be used to solve geometry problems related to circle. A sector is an area formed between the two segments also called as radii, which meets at the center of the circle. In simple terms it looks like a slice of pie. The central angle of a sector is the angle that substends at the center of the circle to two points on a cicle. For example, if the angle is 45° and the radius 10 inches, the area is (45 / 360) x 3.14159 x 102 = 0.125 x 3.14159 x 100 = 39.27 square inches. Area Calculator Use this area calculator to easily calculate the area of common bodies like a square, rectangle, triangle, circle, parallelogram, trapezoid, ellipse, regular octagon, and sector of a circle. Other than this, it can be half of the circle or sometimes more than half. You need to measure or know to things: the sector's radius and its angle. Simply input any two values into the appropriate boxes and watch it conducting all calculations for you. ", "acceptedAnswer": { "@type": "Answer", "text": "

The following is the calculation formula for the area of a sector:

" } },{ "@type": "Question", "name": "How to Calculate The Area of Sector with This Tool? Our sector area calculator can help you calculate the area of a sector. What Is The Area of Sector Formula? All it needs is; the radius and angle to find the area of sector. Sector Area Formula. Sector Area from Arc length and Radius calculator uses Area of Sector= (Arc Length*radius of circle)/2 to calculate the Area of Sector, The Sector Area from Arc length and Radius is the area of the circle enclosed between two radii of circle and the arc. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Area of a Sector Calculator", [online] Available at: https://www.gigacalculator.com/calculators/area-of-sector-calculator.php URL [Accessed Date: 17 Feb, 2021]. Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. Area of a cyclic quadrilateral. As established, the only two measurements needed to calculate the area of a sector are its angle and radius. If the two lines are formed at a 180 degree angle then the sector is often referred to as a semi-circle. We are not to be held responsible for any resulting damages from proper or improper use of the service. How to Use the Area of a sector Calculator? Area of an ellipse. Area of an arch given angle. The Area of A Sector Calculator is used to help you find the area of a sector of a circle. The following is the calculation formula for the area of a sector: Where:A = area of a sectorπ = 3.141592654r = radius of the circleθ = central angle in degrees. Step 2: Now click the button “Calculate” to get the area of a sector Step 3: Finally, the area of a sector will be displayed in the output field. It is a triangular part of the circle. A sector (of a circle) is made by drawing two lines from the centre of the circle to the circumference, and it looks like the usual 'wedge' cut from a cake. It is like a slice of pizza, as the pizza is rounded and the slice has its own and definite approach. Formula to calculate area of a sector of a circle is given below: where, A = Area of a sector of a circle C = Central angle of a circle r = Radius of the circle In the below area of a sector of a circle calculator, enter the central angle and radius in the respective input boxes and click calculate button to find the answer. Learn more about sectors and see more detailed examples on our sector area calculator. Area and is denoted by A symbol. radius: angle (degree): Result window. The calculator will show you the chart of the sector based on your input as well. If you need calculate the arc length of a sector, please use our Arc Length Calculator, The Area of A Sector Calculator is used to help you find the area of a sector of a circle. On this page, you can calculate area of a Segment. Radius of circle given area. Formulas and explanation below. Area of a Sector calculator uses Area= (Radius*Arc Length)/2 to calculate the Area, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. You can also use the arc length calculator to find the central angle or the circle's radius. A sector of a circle) is made by drawing two lines from the centre of the circle to the circumference. Area of a sector formula The formula for the area of a sector is (angle / … The arc is the outer edge of the sector. You can also download the result in PDF filetype. " { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [{ "@type": "Question", "name": "What Is The Area of Sector Formula? Area of an arch given height and chord. Make sure to check out the equation of a circle calculator, too! If the angle is 180 degrees then the sector is a semi-circle. Area of a regular polygon. The perimiter between the two points on the circle is called the arc of the sector. Area of a segment of a Circle formula = Area of Sector - Area of Triangle. Whether you want to calculate the Area (A), Arc (s), or one of the other properties of a sector including Radius (r) and the Angle formed, then provide two values of input. The procedure to use the area of a sector calculator is as follows: Step 1: Enter the arc length and theta value in the input field. In a circle with centre O and radius r, let OPAQ be a sector and θ (in degrees) be the angle of the sector. When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents. Area of … A circle is … Area of an ellipse. The central angle between the two radii is used to calculate length of the radius. Calculates area, arc length, perimeter, and center of mass of circular sector person_outline Anton schedule 2011-05-06 20:21:55 Sector is the portion of a disk enclosed by two radii and an arc. After you have obtained the measurements, just apply the formula above or use our sector calculator as an easier and faster alternative. Area of an arch given height and chord. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. Area of a hyperbolic sector. See our full terms of service. You can also download the result in PDF filetype. Google maps area Area of a quadrilateral. Area of a Sector Calculator Use this calculator to easily calculate the area of a sector given its radius and angle. A = (θ ÷ 360)πr 2. r = radius θ = angle. Area of a parabolic arch. If the angle is 360 degrees then the sector is a full circle. Discuss everything about the Sector of a Circle Area Calculator with the community: You can also download the result in PDF filetype. Download: Use this area calculator offline with our all-in-one calculator app for Android and iOS. If you like Area of A Sector Calculator, please consider adding a link to this tool by copy/paste the following code. Note the circumference and area apply to the entire circle.. Example: Given that the radius of the circle is 5 cm, calculate the area of the shaded sector. If the sector is a quadrant, then the angle is 90°. How to calculate Area of a Sector using this online calculator? Side of polygon given area. Area of a circular sector. An easy to use online calculator to calculate the arc length s , the length d of the Chord and the area A of a sector given its radius and its central angle t. Formulas for arc Length, chord and area of a sector Figure 1. formulas for arc Length, chord and area of a sector In the above formulas t is in radians. Arc length is a fraction of circumference. A protractor can be useful in many cases. The radius can be expressed as either degrees or radians, with our area of a sector calculator accepting only degrees for now (let us know if it would help you if it supported radians as well). Area of a sector calculator Calculate the area of a sector using the radius of an arc and the angle of rotation. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. An arc is a part of the circumference of the circle. Area of an arch given height and radius. Area of a hyperbolic arch. A segment is the shape formed between the chord and the arc. In the case of arc length and sector area, you will only be dealing with a … The circumference of a circle is the linear distance around the circle, or the length of the circle if it were opened up and turned into a straight line.. Measuring the diameter is easier in many practical situations, so another convenient way to write the formula is (angle / 360) x π x (diameter / 2)2. Our calculators are very handy, but we can find the arc length and the sector area manually. Circle. Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. Steps to Find Area & Length of a Circle Sector The step by step workout for how to find what is area & length of a circle sector. The formula for the area of a sector is (angle / 360) x π x radius2. Area of an elliptical arch. π is, of course, the mathematical constant equal to about 3.14159. Sectors are portoins of a circle with the four parts being the central angle, radius, arc length, and chord length. Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Area of a sector Calculator . The calculator will show you the chart of the sector based on your input as well. There are two special cases. A sector of a circle is the shape formed by slicing up a circular cake. (Take π = 3.142). https://www.gigacalculator.com/calculators/area-of-sector-calculator.php. } }]} Area of a circle. Calculate The Area Of A Sector (Using Formula In Degrees) We can calculate the area of the sector, given the central angle and radius of circle. Area of a circular sector. Area of an arch given angle. Radius of Area Sector Calculator A sector is a portion of a circle, which is enclosed by two radii and an arc lying between the area, where the smaller portion is called as the minor area and the larger area is called as the major area. Similarly below, the arc length is half the circumference, and the area id half the total circle. Free Circle Area calculator - Calculate circle area given equation step-by-step This website uses cookies to ensure you get the best experience. Sector of a Circle Area Calculator A circular sector or circle sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. .accordion{background-color:#eee;color:#444;cursor:pointer;padding:18px;width:100%;border:none;text-align:left;outline:none;font-size:16px;transition:0.4s}.accordion h3{font-size:16px;text-align:left;outline:none;}.accordion:hover{background-color:#ccc}.accordion h3:after{content:"\002B";color:#777;font-weight:bold;float:right;}.active h3:after{content: "\2212";color:#777;font-weight:bold;float:right;}.panel{padding:0 18px;background-color:white;overflow:hidden;}.hidepanel{max-height:0;transition:max-height 0.2s ease-out}.panel ul li{list-style:disc inside}. This area uses units of degrees for … Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Area of the circular region is πr².. Let this region be a sector … Solution: Area of sector = 60°/360° × 25π = 13.09 cm 2 The calculator will show you the chart of the sector based on your input as well. The calculator will then determine the length of the arc. If the angle is 180 degrees then the sector is a semi-circle. This tool can be used to solve geometry problems related to circle. Select the input value you want, then enter their values. The following is the calculation formula for the area of a sector: Where: A = area of a sector π = 3.141592654 A circle is a simple closed shape formed by the set of all points in a plane that are a …

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