A wire in the shape of a circle of radiu

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

A wire in the shape of a circle of radius 14 cm is bent in the form of a square, what is the difference of their areas?

Options:

132 cm²

484 cm²

192 cm²

616 cm²

Correct Answer:

132 cm²

Explanation:

Circumference of wire = Perimeter of square

2\(\pi\) x 14 = 4 x (side)

88 = 4 x (side)

Side = 22

Difference in their areas = \(\pi\)r² - (Side)² = 616 - 484 = 132 cm²