The area of the shaded region.
Answer to Problem 40PPS
The area of the shaded region is 47.7
Explanation of Solution
Given: Two concentric
Concept Used: The formula for the area of circle with radius r is given by-
Area of circle
The area of any shaded region can be found by subtracting the total unshaded region from the total region.
Calculations: Let the radius of the inner circle and the length of the circular track be x. From the given figure, the diameter of the inner circle and two times the length of the circular track adds up to the 9 cm. Thus,
Thus, radius of the inner circle is
The diameter of the larger circle is 9 cm. Thus, radius of the larger circle will be-
Radius
Hence, area of the larger circle
Area of the smaller circle
Thus, area of the circular track
Thus, the area of the shaded region is 47.7
Chapter 11 Solutions
Geometry, Student Edition
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