To calculate: The area of the shaded sector (major) with
Answer to Problem 3CCYP
The area of the shaded sector (major) is = 100.4 sq inches (nearest to tenth).
Explanation of Solution
Given information:
Circle with radius 11 inches and a minor sector JKL with angle 65°.
Calculation:
Required shaded sector (major sector) area=area of the circle − area of the minor sector JKL.
To calculate this shaded area, he will use two results
- Area of the circle with radius r is given by
- Area of the sector with radius r and angle θ is given by
So area of the given circle is
=
Now area of the minor sector
=
=
=
Required shaded sector (major sector) area=area of the circle − area of the minor sector JKL.
=
=100.353sq inches.
=100.4 sq inches (nearest to tenth)
Chapter 11 Solutions
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