Three circle of diameter 10 cm each touching one another are boun

Three circle of diameter 10 cm each touching one another are boun
| Three circle of diameter 10 cm each touching one another are bound together by a rubber band, the length of the rubber band is -

A. 30

B. 30 + 10 π

C. 10 π

D. 60 + 20 π

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Given:

Three circles are bound together by a rubber band

All three circles are touching one another

Concept used:

Calculation:

Length of the rubber band = 10 cm + 10 cm + 10 cm + 2πr  (∵ the band is wrapped over all three circles having 1/3rd of circumference each)

⇒ 30 + 2π × 5

⇒ 30 + 10π 

∴ The length of the rubber band is 30 + 10π cm

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