What is the length of PQ to the nearest hundreth place.(use 3.14 for *) P 135° Q A 12 in. a 169.6 in. 56.5 in. Ob Ос 84.8 in. Od 28.3 in.

Question

asked Jan 15, 2022 66.6k views

1 Answer

Someuser · Answer 1 · 2022-01-21T08:19:00+0000

Given:

The radius of the circle = 12 in.

The central angle of the intercepted arc PQ = 135 degrees.

To find:

The measure of arc PQ.

Solution:

The length of arc is:

$s=2\pi r* (\theta)/(360^\circ)$

Where, r is the radius and
$\theta$ is the central angle.

Substituting
$r=12,\pi=3.14,\theta=135^\circ$ in the above formula, we get

$s=2(3.14)(12)* (135^\circ)/(360^\circ)$

s=75.36* 0.375

s=28.26

$s\approx 28.3$

The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).