Question

The length of an arc of a circle with radius 12cm is 10pi cm.What is the angle measure of this arc?

Answer 1

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theta / 360 × 2 × pi × r = 10 pi

theta / 360 × 2 × pi × 12 = 10 pi

theta = 10 pi × 360 / 24 pi

theta = 150 ...✔

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Thanks...✊

Answer 2

Given:

Length of arc = 10 pi cm

Radius = 12 cm

To find: Angle of the arc

Calculation:

Formula for length of arc = radius * angle of arc

l = r * α

α = $\frac{l}{r} = \frac{10 \pi }{12} = \frac{5}{6} \pi$

Answer:

So, the angle of arc is $\frac{5}{6} \pi$.