Question
The area of a sector of a circle is 144π cm², and the
radius of the circle is 24 cm. Find the angle of the sector in radians.Solution
The area of a sector is given by the formula: Area = (θ/360) × πr² Given: Area = 144π cm², radius = 24 cm. 144π = (θ/360) × π × 24² 144π = (θ/360) × π × 576 144 = (θ/360) × 576 θ = 90 So, the angle is: 90 A) π/2
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