The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. 70 cm
  2. 15 cm
  3. 46 cm
  4. 35 cm

Answer (Detailed Solution Below)

Option 4 : 35 cm
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Detailed Solution

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Given:

The circumference of the two circles is 110 cm and 330 cm respectively. 

Concept used:

Circumference of a circle  = 2πR (R = Radius)

Calculation:

Let the radii of the bigger and smaller circles be R and r respectively.

Difference between their radii = (R - r)

According to the concept,

2πR - 2πr = 330 - 110

⇒ 2π(R - r) = 220

⇒ 44/7 × (R - r) =  220

⇒ (R - r) = (220 × 7)/44

⇒ (R - r) = 35

∴ The difference between their radii is 35 cm.

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