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* (\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).