The expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.
What is the area of a circular sector?
Area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of angle of the sector and the radius of the circle.
When the angle is measured in degree it be given as,
Area of sector=(θπr²)/360
Here, r is the radius of the circle and θ is the angle of the sector.
When the angle is measured in radian it be given as,
Area of sector=(θ/2)×r²
Here, r is the radius of the circle and θ is the angle of the sector.
Hence, the expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.
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