Question

Find the length of arc QS. Round to the nearest hundredth(Degrees).

Answer 1

Given the circle R

As shown, m∠QRS = 112

The radius of the circle = r = QR = 19 units

We will find the length of the arc QS

First, convert the angle from degree to radian

`\theta=112\cdot(\pi)/(180)=(28\pi)/(45)`

The length of the arc will be calculated using the following formula =

`\theta\cdot r=(28\pi)/(45)\cdot19=37.14`

So, the answer will be the length of the arc = 37.14