The area of the shaded sector is 9π unts²
The term "turn" also refers to a 360° rotation. Angles between 0° and 360° are calculated. We require a circle's circumference, which is equal to 2 r r, where r is the circle's radius.
In any circle of radius r, the ratio of the arc length ℓ to the circumference equals the ratio of the angle θ subtended by the arc at the center and the angle in one revolution. Thus, measuring the angles in radians, ℓ2πr=θ2π⟹ ℓ=rθ.
Find the diagram attached
Given the following
Radius = 6
Theta = pi/2 = 90°
Area of the sector = theta/360×πr²
Area if the sector = 90/360 × π(6)²
Area of the Sector = 1/4 × 36π
Area of the sector = 9π unts²
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