A semicircular garden with its diameter as one of the lengths of rectangular house is to be constructed. If the area of the house is 2200 sq. m and its breadth is 11 m, find the radius of the semicircular garden.
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100 m
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200 m
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11 m
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544 m
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50 m
A
Correct answer
Explanation
This is the correct answer. Since a semicircular garden with its diameter as one of the lengths of rectangular house is to be constructed, it means length of the house = diameter of garden
Area of the house = 2200 sq. m
Breadth of the house is = 11 m
Area of the house = length * breadth
2200 sq. m = length * 11 m
(2200/11) m = length
200 m = length
Length = diameter = 200 m
Radius of the semicircular garden is = diameter/2 = (200/2) m
= 100 m
Ans. 100 m