(a)
To find: The length
(a)
Answer to Problem 3CT
The length
Explanation of Solution
Given information:
The central angle of a sector of a
Calculation:
The radius of a circle is half of diameter. So, the radius
We know that
In order to convert the given degree measure to radians, multiply by
Now, the length of an arc is given by the formula
Substitute
Therefore, the length
(b)
To find: Area
(b)
Answer to Problem 3CT
The area of the sector
Explanation of Solution
Given information:
The central angle of a sector of a circle having diameter 8 in.measures
Calculation:
The area of a sector
Substitute
Therefore the area of the sector
Chapter 13 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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