Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Each edge of the following square is 20 cm long, and a circle is inscribed in the square as shown. What is the area of the shaded region? [Use π = 3.14]

Options:

88 cm2

85 cm2

86 cm2

84 cm2

Correct Answer:

86 cm2

Explanation:

We know that,

Area of square = (side)2 

Area of Circle = πr2 

We have,

Diameter = 20 cm = Edge

Then, Radius = 10 cm

According to the question,

Area of shaded region = Area of Square - Area of Circle

= Area = (20)2 - π(10)2 

= Area = 400 – (3.14) × 100

= Area = 400 – 314 = 86 cm2