A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 31.66 cm.
Arc Length = (θ/360°) × 2πr
= (15°/360°) × 2 × 3.14 × 14
≈ 3.66 cm
Perimeter of sector = Arc Length + 2r
= 3.66 + 2 × 14
= 3.66 + 28
= 31.66 cm
Therefore, the perimeter of the sector is 31.66 cm.