To find: the arc length and the area of a sector.
Arc length:
Area:
Given information:
Given sector have radius 8 inches and the central angle
Definition Used:
Arc length and the area of a sector:
The arc length s and area A of a sector with radius r and central angle
Arc length:
Area:
Property Used:
Degree can be converted into radian using:
Explanation:
Here, the measure of central angle is given in degrees but as per the above definition this angle is required in radians. So, first step is to convert
To convert
Now, use the formulas given in above definition to find the arc length and the area of the sector.
Here, use radius
Arc length:
So, the arc length is
Area:
So, the area is
Chapter 9 Solutions
EBK ALGEBRA 2
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