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What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°? (Use π = 3.14)

SSC · 2024 · Quantitative Aptitude
Question:
What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°? (Use π = 3.14)

Options

(1) 20.4
(2) 35.7
(3) 82.8
(4) 25.2
Answer: (4) 25.2

Explanation:
Perimeter = 2r + (θ/360)×2πr = 20 + (30/360)×2×3.14×10 = 20 + 5.23 = 25.23 ≈ 25.2 cm.

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