Mai says, “I know how to find the area of a sector or the length of an arc for central angles like 180
degrees or 90 degrees. But I don’t know how to do it for central angles that make up more complicated
fractions of the circle.”
1. In the diagram, the sector’s central angle measures 8 degrees and the circle’s radius is r units. Use
the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and
2. This image shows a circle with radius and central angle measurements. Find the area of the shaded
sector, and the length of the arc defined by the sector.