Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use π = $\frac{22}{7}$]

Options:

176 m2

112 m2

122 m2

154 m2

Correct Answer:

176 m2

Explanation:

The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m

The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf.

We know that,

Area of the circle = π r2 

= Old Area = π (9)2  = 81π 

= New Area = π (5)2 = 25π 

So,  change in Area

= 81π - 25π 

= 56π = (56 × \(\frac{22}{7}\)) = 176 m2