Area and Perimeter Practice Test 1

Question : 33 of 40

Marks: +1, -0

Each side of a given square is 5 cm and assuming the two opposite sides of this square as diameters, two semicircles are drawn in the inside of the square. If these semicircles are cut out from the square, then the area of the remaining portion of the given square will be

(9 – 6.25π) sq. cm.
(25 – 6.25π) sq. cm.
(25 – 4.25π) sq. cm.
(36 – 6.25π) sq. cm.

Validate

Solution:

Area of the remaining portion of the square
=

5^2 - 2 × 1/2 π × (5/2)^2

25 - {25}/4 π

= (25 – 6.25π) sq. cm.

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