Question

CD is the Diameter. The measure of Arc CD is 11x Find the length of the radius in the circle.

Answer 1

r = 11 units

Explanation:

Given that,

The measure of Arc CD is 11x

The arc is making an angle of 180°.

We know that,

Length of the arc,
`l=r\theta`

Where

r is the radius of the circle

So,

`r=(l)/(\theta)\\\\r=( 11\pi)/(\pi)\\\\r=11`

So, the radius of the circle is equal to 11 units.