Area of a Sector of Circle = 1/2 × r2θ, where, θ is the sector angle subtended by the arc at the center, in radians, and 'r' is the radius of the circle. Area of Sector Formula Derivation Let us apply theunitary methodto derive the formula for the area of the sector of a ...
What is the formula for the area of the sector? The formula to calculate the area of the sector is A=θ360o×πr2, where you would need the measure of the central angle in degrees and the radius length. What is the formula for arc length of a sector? The formula to find the arc...
The Area of a Sector of a Circle: θ A=θ360πr2 Answer and Explanation:1 The area of a sector of a circle is given by: A=θ360πr2 Whereris the radius andθis... Learn more about this topic: Area of a Sector | ...
Find the area of the sector below to 1 decimal place. The sector has a central angle of 72° and a radius of 8 ½ in. The area of a sector: \[ A = {\theta \over 360} \pi r^2 \] where A is the area, θ is the central angle and r is the radius of the circle. ...
Area of circle =( 1/2) x Circumference x radius A = (1/2) x C x r Diameter of a circle (D)=√(A/0.7854). Arc and sector of a circle: Here angle between two radii is ”θ” in degrees. . And sector of a circle AOB. ...
where r is the radius of the circle. This formula allows us to calculate any one of the values given the other two values. Worksheet to calculate arc length and area of a sector (degrees) Calculate The Area Of A Sector (Using Formula In Degrees) ...
Apart from those simple, real-life examples, the sector area formula may be handy in geometry, e.g., for finding the surface area of a cone. FAQs What is the sector of a circle? The sector of a circle is a slice of a circle, bound by two radiuses and an arc of the circumference...
After you have obtained the measurements, just apply the formula above or use our sector calculator as an easier and faster alternative. Example: find the area of a sector As established, the only two measurements needed to calculate the area of a sector are its angle and radius. For example...
Area = πr2= $\frac{22}{7}$ x 7 x 7 = 154 cm2 Suppose, instead of the radius we are given the diameter of a circle, how do we calculate the area? We know that in a circle, the radius is half of the diameter. Mathematically, ...
1. What is the area of a sector if the radius is 12 and the central angle is 45°? 56.5 113.1 4.7 226.2 18.8 2. What is the arc length, rounded to the nearest whole number, if the radius is 8 and the central angle is 72 degrees?