Question

The radius of a circle is 24cm and an arc of it's length 8π cm. Find the angle subtended by this arc at the center of the circle.
1 point
30°
60°
45°
180°​

Answer 1

Answer:-60 dregees

hope answer will help........!!!

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Answer 2

Answer:

$θ = {60}^{0}$

Step-by-step explanation:

Angle subtended(in radian) by arc of length x at center is given by

$</strong><strong>θ</strong><strong> = \frac{x}{r}$

$or \: </strong><strong>θ</strong><strong> = \frac{8\pi}{24}$

$or \: </strong><strong>θ</strong><strong> = \frac{\pi}{3}</strong><strong> </strong><strong>=</strong><strong> </strong><strong>\frac{\pi}{3}</strong><strong> </strong><strong> </strong><strong> </strong><strong>\frac{</strong><strong>1</strong><strong>8</strong><strong>0</strong><strong>⁰</strong><strong>}{</strong><strong>\</strong><strong>p</strong><strong>i</strong><strong>}</strong><strong>$

$or \: </strong><strong>θ</strong><strong> = {60}^{0}$