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MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

Four equals circles are described about the four corners of a square 50 that each touches two of the others, as shown in the figure. Find the area of the shaded region, each side of the square measuring 14 cm.

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Choose the correct answer:

A.
42 sq. cm
(Correct Answer)
B.
24 sq. cm
C.
26 sq. cm
D.
12 sq. cm

Correct Answer:
42 sq. cm

Explanation

Square ka Area:

Side $= 14 \text{ cm}$

$\text{Area}_{square} = 14 \times 14 = 196 \text{ cm}^2$

Circle ka Radius ( $r$ ):

Chunki circles ek doosre ko touch kar rahe hain, radius side ka aadha hoga.

$r = \frac{14}{2} = 7 \text{ cm}$

4 Quadrants ka Area (Ek poora circle):

$\text{Area}_{circle} = \pi r^2 = \frac{22}{7} \times 7 \times 7 = 154 \text{ cm}^2$

Shaded Region ka Area:

$\text{Shaded Area} = 196 - 154 = 42 \text{ cm}^2$

Explanation

Square ka Area: