Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Side of a square is 6 cm. What is the area of the largest circle that can be drawn inside the square?
(Take $\pi = \frac{22}{7}$)

Options:

$\frac{198}{7} cm^2$

$\frac{318}{7} cm^2$

$\frac{252}{7} cm^2$

$\frac{156}{7} cm^2$

Correct Answer:

$\frac{198}{7} cm^2$

Explanation:

We know that,

Area of a circle = πr2

Here we can say that,

Side of a square = Diameter of a circle

= Diameter of a circle = 6 cm

= Then, Radius of a circle = 3 cm

= Area of a circle = πr2 = \(\frac{22}{7}\)× 3 × 3 = \(\frac{198}{7}\) cm2