A circular arc whose radius is 14 cm makes an angle of 45° at the centre. Find the perimeter (in cm) of the sector. (Use π = 22/7)

Question

Accepted Answer

Given:  
Radius (r) = 14 cm  
Central angle (θ) = 45°

Step 1: Calculate the length of the arc.  
Arc length (L) = (θ/360) × 2πr  
= (45/360) × 2 × (22/7) × 14  
= (1/8) × 2 × (22/7) × 14  
= (1/8) × 2 × 22 × 2  
= (1/8) × 88  
= 11 cm

Step 2: Calculate the perimeter of the sector.  
Perimeter = 2 × radius + arc length  
= 2 × 14 + 11  
= 28 + 11  
= 39 cm

Therefore, the correct perimeter is 39 cm, which corresponds to option 3.

Answer

Answer

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