If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is:

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This question was previously asked in
SSC CPO 2022 Tier-I Official Paper (Held On 11 Nov 2022 Shift 1) [Answer Key]
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  1. 51.25
  2. 16.27
  3. 36.27
  4. 46.25

Answer (Detailed Solution Below)

Option 3 : 36.27
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SSC CPO : English Comprehension Sectional Test 1
50 Qs. 50 Marks 20 Mins

Detailed Solution

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Given:

Radius of circle = 30 cm

Length of arc of circle = 19 cm

Concept Used:

Arc length of a circle, l = 

Calculation:

⇒ Putting the values in the formula, we get

⇒ 19 = 2 ×  × 30 × 

⇒  = 

⇒  =  =  = 36.27º

Therefore, the angle subtended at the center of a circle is 36.27º.

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