1 Answer

Haoyuan Ge · Answer 1 · 2023-08-09T12:16:25+0000

We must calculate the length of an arc of angle 115°.

We know that the length of an arc of angle 360° is equal to: 2 pi * r.

So we can write the following formula for the lenght of an arc of angle A:

$L=2\pi\cdot r\cdot(A)/(360)$

In our problem we have:

A = 115

r = 4 cm

So applying the formula of above the answer is:

$L=2\pi\cdot4\operatorname{cm}\cdot(115)/(360)=(23)/(9)\cdot\pi\cdot cm\cong8\operatorname{cm}$

(rounded to the nearest tenth)

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