Question

Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch

Answer 1

Answer: 25 in.

Step-by-step explanation:

Given

Arc length is 34 inches

The angle subtended by the arc is $78^{\circ}$

arc length l subtending an angle $\theta$ is given by

$\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R$

Put the values

$\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.$