Question

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.

Answer 1

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:

$s=2\pi r\times \dfrac{\theta}{360^\circ}$

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

$s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}$

$s=75.36\times 0.375$

$s=28.26$

$s\approx 28.3$

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