Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the area (in $\mathrm{cm}^2$) of a circle inscribed in a square of area $784 \mathrm{~cm}^2$ ? (Take $\pi=\frac{22}{7}$)

Options:

660

616

924

462

Correct Answer:

616

Explanation:

We have,

Area of square = 784 cm2

a2 = 784 cm2

a = 28 cm

Side = Diameter of circle = 28 cm

Radius of circle = 14 cm

Area of the circle = πr2 = \(\frac{22}{7}\) × 14 × 14 cm2 = 616 cm2