The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).
Let r be the radius of the circle. Then the area of the circle will be
Area = πr²
Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be
Area = (θ/2π) πr²
Area = (θ/2π) x (area of the circle)
More about the area of the sector link is given below.
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