Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

A circle is drawn circumscribing a rectangle of sides 24 cm and 7 cm. Find the area of the circle. (Take π = 3.14)

Options:

490.625 cm2

420.545 cm2

397.982 cm2

478.967 cm2

Correct Answer:

490.625 cm2

Explanation:

Given,

The length of the Rectangle is = 24 cm

The breadth of the Rectangle = 7 cm

We know that,

Area of a circle = πr2 

By Phythagorus theorem

= 242 + 7= 252

Here, the Radius of the given circle = \(\frac{25}{2}\)

=  Area of the Circle = π× (\(\frac{25}{2}\))2

= Area of the circle = 3.14× (\(\frac{625}{4}\)) = 490.625 cm2