Question

Tamara has a round pool with a diameter of 20 feet. She wants to rope off 37.5 π
square feet of the pool for a game. Using the formula for the area of a sector, what is the angle of the sector that she should section off?(1 point)

θ=10.42°


θ=33.75°


θ=337.5°


θ=135°

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Answer 1

Radius = 10 ft, so pool area = π(10)^2 = 100π.
Sector area = (θ/360)·100π = 37.5π → (θ/360)·100 = 37.5 → θ = 37.5·360/100 = 135°.

Answer: θ = 135°.