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MAT Exam 2022 Paper

Question : 102 of 200

Marks: +1, -0

Solution:

Concept:

Compare the areas obtained from the same perimeter for a square and a circle.

Explanation:

For the square, perimeter

=88

cm.

4 \times \text{side} = 88

\text{side} = 22

Area of square

= 22^2 = 484

^2

For the circle, circumference

=88

cm.

2\pi r = 88

Using

\pi = \frac{22}{7}

2 \times \frac{22}{7} \times r = 88

r = 14

Area of circle

= \pi r^2 = \frac{22}{7} \times 14 \times 14 = 616

^2

Since

616 > 484

, the circle has a larger area.

Difference

= 616 - 484 = 132

^2

Answer:

Circle is larger by

132

^2

Correct option: C.

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