Mensuration Practice Test 7

Question : 12 of 40

Marks: +1, -0

The four equal circles of radius 4 cm drawn on the 4 corners of a square touch each other externally. Then the area of the portion between the square and the four sectors is:

9(π - 4) sq. cm
16(π - 4) sq. cm
9(4 - π) sq. cm
64(4 - π) sq. cm

Validate

Solution:

Required Area = Area of Square − Area of 4 circles
= (16 × 16) - 4 × π ×

(4)^2

= 256 - 64π
= 64 (4 - π)

cm^2

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