Question

The diameter of a circle is 16 meters. What is the angle measure of an arc 6​ meters long?

Answer 1

42.99° or approx 43°

Explanation:

Diameter of circle d = 16 m

Lenght of arc l= 6 m

Let the angle measure of the arc be
`\theta`

By length of arc formula of a circle.

`l = ( \theta)/(360 \degree) *\pi d \\ \\ 6 = ( \theta)/(360 \degree) * 3.14 * \: 16 \\ \\ \theta = (6 * 360 \degree)/(3.14 * 16) \\ \\ \theta = (2160\degree)/(50.24) \\ \\ \theta = 42.9936306 \degree \\ \\ \theta = 42.99 \degree \approx \: 43 \degree`