The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°

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step-by-step explanation: