Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Direction: In the given figure ABCD is a square and radius of semi circle is 7 cm.

On the basis of the above information answer the questions.

Area of the figure is.

Options:

$119 cm^2$

$273 cm^2$

$350 cm^2$

$42 cm^2$

Correct Answer:

$119 cm^2$

Explanation:

Here, ATQ

AD = Diameter = 2 × radius, where radius = 7 cm

AD = 14 cm. = side of square

Area of the figure = area of square - area of semi circle

                          = (side)2 - \(\frac{1}{2}\) × π r2

                          = (14)2 - $\frac{1}{2}× \frac{22}{7}×7×7$

                          = 196 – 77 = 119 cm2