GATE CE 2023 Set 1 — Question 10
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius 2 cm, as shown.The area of the shaded region is _______ .
Correct answer
(A) 8
Solution
Area of the square = . The shaded region consists of the four corners. By symmetry and the properties of the circular arcs, the total area of the shaded region is exactly half the area of the square. Area = .
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