Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The length of each side of a square is twice the radius of a circle. If the radius of the circle is 7 cm, then what is the difference between the areas of the square and the circle? [Use π = $\frac{22}{7}$]

Options:

44 cm2

46 cm2

42 cm2

48 cm2

Correct Answer:

42 cm2

Explanation:

We know that,

The area of a circle = πR2 

Area of a square = (Side)2

We have,

The length of each side of a square = twice the radius of a circle.

The radius of the circle = 7 cm.

Side of the square = 7 × 2 = 14 cm

Area of the square = 142 = 196 cm2

Area of the circle = \(\frac{22}{7}\) × 72 = 154 cm2

So, the difference between the areas of the square and the circle = 196 - 154 = 42 cm2