Sectors, Segments and Their Areas Worksheet with Answer Key

What's on the worksheet

1. Find the area of each sector exactly in terms of pi:
   r = 12,\ \theta = 30^\circr = 3,\ \theta = 160^\circd = 20,\ \theta = 270^\circr = 2\sqrt{3},\ \theta = 150^\circr = 10,\ s = 7\pi
2. Find the area watered by a sprinkler that swings through 20 degrees.
3. Find the angle or radius that gives a sector the same area as sector P.
4. Find the area and opening angle of a folding fan from its rib length and edge.
5. Find the area of the piece sawn off a round table and what is left.
6. Find where a line cuts a circle and the area of the part above it.
7. Compare two sectors with the same arc length but different radii.
8. Find the area of field a dog tied to the corner of a shed can reach.