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

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?

in progress 0
Sadie 2 weeks 2022-01-12T04:48:26+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-12T04:49:57+00:00

    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° .

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )