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

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. 45 cm
  2. 16.5 cm
  3. 49.5 cm
  4. 24.5 cm

Answer (Detailed Solution Below)

Option 4 : 24.5 cm
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

The circumference of the two circles is 198 cm and 352 cm respectively.

Concept used:

Circumference of the two circles = 2πr

Where, r = radius

Calculation:

Let the radius of two circle is r1 & r2 

According to the question,

2πr- 2πr1 = 352 - 198

⇒ 2π(r- r1) = 154

⇒ π(r- r1) = 77

⇒ r- r1 = 77 × 7/22

⇒ r- r1 = 49/2

⇒ r- r1 = 24.5

∴ The required answer is 24.5 cm

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