Question of The Day26-12-2022

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

Answer

Correct Answer : d ) 24.5 cm

Explanation :

Let the radius of circle 1 and circle 2 be r1 and r2 respectively.

As we know that

Circumference of a circle = 2πr

It is given that:

Circumference of Circle 1 = 2πr1 = 198 cm........(1)

Circumference of Circle 2 = 2πr2 = 352 cm........(2)

From eq. 1 and 2, we get,

r1 = 198/2π

r2 = 352/2π

Difference between radii = r1 - r2 = (352 - 198)/2π

Difference between radii = 154/2π

Difference between radii = 77 x 7/22 = 24.5 cm

Hence, (d) is the correct answer.

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