The area of the shaded region.
Answer to Problem 35PPS
The area of the shaded region is 10.7
Explanation of Solution
Given: Two
Concept Used: The formula for the area of circle with radius r is given by-
Area of circle
The formula for the area of a rectangle with length l and breadth b is given by-
Area of rectangle
The area of any shaded region can be found by subtracting the total unshaded region from the total region.
Calculations: The total region in this case is a rectangle having length 10 cm and breadth 5 cm. Area of the rectangle is thus given by-
Total area
The unshaded region consists of two circles which are congruent which is evident from the given figure. Let the diameter of each circle be d. Thus, sum of both diameters is equal to the length of the rectangle. Hence-
Thus, radius of each small circle is given by-
Radius
Hence, the total area of the unshaded region is equal to twice the area of one circle. Thus-
Unshaded area
Hence, total area of the shaded region is given by-
Shaded area
Thus, area of the shaded region is
Chapter 11 Solutions
Geometry, Student Edition
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