Question

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

Answer 1

Answer:

42.99° or approx 43°

Step-by-step 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.

$l = \frac{ \theta}{360 \degree} \times\pi d \\ \\ 6 = \frac{ \theta}{360 \degree} \times 3.14 \times \: 16 \\ \\ \theta = \frac{6 \times 360 \degree}{3.14 \times 16} \\ \\ \theta = \frac{2160\degree}{50.24} \\ \\ \theta = 42.9936306 \degree \\ \\ \theta = 42.99 \degree \approx \: 43 \degree$