Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?

Options:

45 cm

16.5 cm

49.5 cm

24.5 cm

Correct Answer:

24.5 cm

Explanation:

We know that,

Circumference of the circle = 2πr

The circumference of the two circles = 198 cm and 352 cm

According to the question,

2πr2 - 2πr1 = 352 - 198

= 2π(r2 - r1) = 154

= π(r2 - r1) = 77

= (r2 - r1) = 77 × \(\frac{7}{22}\) 

= (r2 - r1) = 24.5