The perimeter of a semi-circle is 56.54 cm. What is its diameter (in cm)? (Use π = 3.14)

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 04 Jul, 2024 Shift 3)
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  1. 11
  2. 20
  3. 22
  4. 10

Answer (Detailed Solution Below)

Option 3 : 22
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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Given:

The perimeter of a semi-circle is 56.54 cm.

Formula used:

Perimeter of semi-circle = πr + 2r

Where, r = radius

Calculations:

56.54 = 3.14r + 2r

⇒ 56.54 = 5.14r

⇒ r = 56.54 / 5.14

⇒ r = 11 cm

⇒ Diameter = 2r = 2 × 11

⇒ Diameter = 22 cm

∴ The correct answer is option (3).

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