Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: Take($\pi=\frac{22}{7}$)

Options:

346.5 $cm^2$

616 $cm^2$

536 $cm^2$

1078 $cm^2$

Correct Answer:

616 $cm^2$

Explanation:

We know that the circumference of the circle = 2πr

and the area of the circle = πr2

Now, according to the question,

2πr – 2r = 60

= 2r(\(\frac{22}{7}\) – 1) = 60

= r × \(\frac{15}{7}\) = 30

= r = 14 cm

Area of the circle =  \(\frac{22}{7}\) × 14 × 14 = 616 cm2