Question

BIf the radius of the circle is 8cm, what is the length of arc BC? Round to the nearestthousandth and use the pi button on the calculator.

Answer 1

For this problem, we are given a circle, its radius, and an arc of 120º. We need to calculate the length of the arc.

We need to use the following expression:

`Arc=(2\pi r\theta)/(360)`

Where theta is the angle. We have:

`Arc=(2\pi\cdot8\cdot120)/(360)=16.755\text{ cm}`

The length of the arc is approximately 16.755 cm.