91Ó°ÊÓ

The circumference of a tree trunk is \(6.6 \mathrm{ft}\). a) What is the diameter of the trunk? b) What is the area of a cross-section of the tree trunk?

In a circle whose radius is 12, find the area of a minor segment whose arc has a central angle of \(60^{\circ}\). [Leave the answer in terms of \(\pi\), and in radical form.]

A 1 -acre field in the shape of a right triangle has a post at the midpoint of each side. A sheep is tethered to each of the side posts and a goat to the post on the hypotenuse. The ropes are just long enough to let each animal reach the two adjacent vertices. What Is the total area the two sheep have to themselves, i.e., the area the goat cannot reach?