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

$\theta=112\cdot\frac{\pi}{180}=\frac{28\pi}{45}$

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

$\theta\cdot r=\frac{28\pi}{45}\cdot19=37.14$

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