Question

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

Answer 1

3.7

Explanation:

We have been given an image of the circle Y. We are asked to find the length of minor arc XZ.

We will use arc length formula to solve for our given problem.

`\text{Arc length}=(\theta)/(180)* \pi r`, where,

`\theta=\text{Measure of central angle}`,

`r=\text{Radius of circle}`.

Upon substituting our given values in the above formula we will get,

`\text{Arc length}=(70)/(180)* \pi*3`

`\text{Arc length}=(7)/(6)* \pi`

`\text{Arc length}=3.66519\approx 3.7`

Therefore, the length of minor arc XZ is 3.7.