Arc Length and Sector Area Notes

Sectors A sector of a circle is a region bounded by two radii of the circle and their intercepted arc.

arc measure

360=

area of sector ABC

area of the whole circle

Example 1) Find the area of each sector a)

b)

Arc Length

Arc length is the distance along an arc measured in linear units.

arc measure

360=

arc length

circumference of the circle

Example 2) a) Use the given arc measure and radius to find the arc length of arc AB.

b) ) Use the given arc measure and radius to find the arc length of arc QR.