The area of the shaded region.
Answer to Problem 36PPS
The area of the shaded region is 7.9
Explanation of Solution
Given: Two shaded sectors in a
Concept Used: The formula for the area of the sector of a circle with central
Area of sector
Total angle at the centre of any circle is
Calculations: The unshaded region consists of two sectors of the circle with central angle
Hence, total central angle included within the shaded region is
The shaded region consists of two congruent sectors each with radius 3 m. Let the central angle of both the shaded sectors be x. Thus,
Hence, the central angle of each shaded sector is
Shaded area
Thus, area of the shaded region is
Chapter 11 Solutions
Geometry, Student Edition
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