Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The area of the quadrant of a circle whose circumference is 22 cm, will be :

Options:

3.5 cm2

10 cm2

38.5 cm2

9.625 cm2

Correct Answer:

9.625 cm2

Explanation:

Circumference of a circle = 2πR

The circumference of a circle = 22 (Given)

2πR = 22

2 × \(\frac{22}{7}\) × r = 22

r = \(\frac{7}{2}\)

We know that,

Area of a quadrant =\(\frac{1}{4}\) πr2 

= \(\frac{1}{4}\) × \(\frac{22}{7}\)  × \(\frac{7}{2}\) × \(\frac{7}{2}\) 

= \(\frac{77}{8}\)  = 9.625 cm2