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A race track is in the form of a ring whose inner and outer circumferences are $44 cm$ and $66 cm$ respectively. Find the width of the track.

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3.5

4.5 cm

4 cm

5.5 cm

answer is A.

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Detailed Solution

Given that a race track in the form of a ring whose inner and outer circumferences are 44 cm and 66 cm respectively.
Formula used to find the circumference is

2 π r

Calculating the outer circumference of the circular track:

2 π r = 66

⇒

r = 66 × 7 22 × 2 cm

⇒

r = 10.5 cm
Calculating the inner circumference of the circular track:

2 π r = 44

⇒

r = 44 × 7 22 × 2

⇒

r

= 7 cm
Calculating the width of the track,
10.5

-

7 cm = 3.5 cm
Therefore, the width of the track is 3.5 cm.
Hence the correct option is 1.

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