Question

In the circle to the left, segment ABABA, B is a diameter. If the length of arc \stackrel\frown{ADB} ADB ⌢ is 8 \pi8π8, pi, what is the length of the radius of the circle?

Answer 1

Answer: 4 units

Step-by-step explanation:

Given : AB is the diameter of a circle.

Then, the central angle for arcADB must be $2\pi$  because the central angle subtended by diameter is $2\pi$ .

The length of arc is given by :-

$L=r\times\theta\\\\\Rightarrow\  8\pi=r\times2\pi\\\\\Rightarrow\ r=\dfrac{8\pi}{2\pi}=4$

Hence, the length of the radius of the circle = 4 units