A circular play ground has a circular path with a certain width around it. If the difference between the circumference of the outer and inner circle is 144 cm, then find the approximate width of the path. (Take π = 22/7)

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  1. 23 cm
  2. 21.5 cm
  3. 22.5 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 1 : 23 cm
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Detailed Solution

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Given:

A play ground has a circular path with a certain width around it.

Difference between the circumference of the outer and inner circle is 144 cm

Formula used:

Circumference of a circle = 2πr unit

where r → radius of the circle.

Calculation:

Let the inner radius and outer radius be r cm and R cm respectively.

The width of the path will be (R - r) cm

Difference between the circumference of the outer and inner circle = 144 cm

⇒ 2πR - 2πr = 144

⇒ 2π(R - r) = 144

⇒ R - r = (144 × 7)/44

⇒ R - r = 22.9 ≈ 23

∴ The width of the path is 23 cm.

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