Question

N circle o, radius oq measures 9 inches and arc pq measures 6π inches. what is the measure, in radians, of central angle poq? 2pi/3 radians 3pi/4 centimeters 4pi/3 radians 3pi/2 radians

Answer 1

A

Explanation:

i took the test

Answer 2

Answer:
`(2\pi)/(3)` radians

Explanation:

Given: In circle O, the radius of circle = 9 inches

The arc length of PQ=
`6\pi` inches

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

The formula to calculate arc length(l) for radius r and angle x is given by :-

`l=r*\x\\\\\Rightarrow\ x=(l)/(r)`

According to the question we have,

`\theta=(6\pi)/(9)=(2\pi)/(3)`

Hence, the measure, of central angle POQ=
`(2\pi)/(3)` radians