To find: the arc length of the outfield fence and the area of the field.
Length:
Area:
Given information:
Given softball field forms a sector having radius 220 feet 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 length of fence and the area of the field.
Here, use radius
Length of outfield fence:
So, the length of outfield fence is
Area:
So, the area of field is
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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