A circular arc whose radius is 24 cm makes an angle of 60° at the centre. The perimeter of the sector formed is:

Question

Accepted Answer

Step 1: Given radius r = 24 cm and central angle θ = 60°.
Step 2: Calculate the length of the arc using the formula: Arc length = (θ/360) × 2πr
= (60/360) × 2 × 3.14 × 24
= (1/6) × 2 × 3.14 × 24
= (1/6) × 150.72
= 25.12 cm

Step 3: The perimeter of the sector is the sum of the arc length and the two radii:
Perimeter = Arc length + 2 × radius
= 25.12 + 2 × 24
= 25.12 + 48
= 73.12 cm

Step 4: Check options: 73.12 cm corresponds to option 3.

Therefore, the correct answer is 73.12 cm.

Answer

Answer

Answer