L5.1.2 ­ Arc Length and area of a sector.notebook
Area of a Sector
Angles and Their Measure
A sector of a circle, (shaded in red) is the region bounded by a central angle and the intercepted arc.
Arc Length or (S)
r
Area of a sector = Objective: 1. Find the Arc Length of a circle
2. Find the Area of a Sector of a Circle
Arc length
In degrees
In Radians
r = Radius
S = Arc Length
This is circumference
Dec 22­8:51 AM
Dec 21­11:29 AM
Suppose we want to find the area of the sector with the given degree of 60 and radius of 12.
A sector of a circle has an arc length 11 cm and central angle 2.2 radians. Find its radius and area.
11
Arc Length
2.2
Area of a sector = =
Arc length
In Radians
Dec 21­11:35 AM
Dec 21­11:42 AM
Exact Values
Dec 19­5:15 PM
1