The area of a sector of a circle is 110 cm2 and the central angle of the sector is 56°, what is the radius of the circle? (Take π = 22/7)

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 2)
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  1. 35 cm
  2. 20 cm
  3. 25 cm
  4. 15 cm

Answer (Detailed Solution Below)

Option 4 : 15 cm
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Detailed Solution

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Given:

Area of a sector is 110 cm2 and the central angle of the sector is 56°

Formula used:

Area of a sector = θ/360° πr2.

Calculation: 

As per the formula,

⇒ 110 cm2 =  56°/360° πr2

⇒ r2 = 225

⇒  r = 15 cm                                                                         

∴ The correct option is 4

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