Question

Find the arc in bold. Round your answers to 2 decimal places.57°26 mmeters

Answer 1

We are given a circle divided into two sectors. The minor arc subtends 57 degrees at the center while we are required to find the length of the major arc.

The formula for the length of an arc of a circle is:

`\begin{gathered} \text{length}=(\theta)/(360)*2*\pi* r \\ \\ \theta=\text{ angle subtended by the arc} \\ r=\text{radius of circle} \end{gathered}`

The angle subtended at the center by the major arc is:

Therefore the answer is 68.75m