Question

what is the measure the central angle of a circle with radius 75 cm that subtends an arc whose length is 125(pie) cm?

Answer 1

The arc subtends an angle of 300° .

Step-by-step explanation:

Radius = 75 cm

Arc length = 125π cm

Arc length = (θ/360) (2πr)

125π = (θ/360) (2π x 75)

125π = (θ/360) (150π)

125π/150π = (θ/360)

5/6 = (θ/360)

(5/6) (360) = θ

θ = 300°

The arc subtends an angle of 300° .