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 )
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 39.
We know that,
l = θ/360 × 2πr
here, l = arc length, r = radius
Now,
⇒ l = 45/360 × 2 × 22/7 × 14
⇒ l = 1/8 × 2 × 22 × 2
⇒ l = 88/8
⇒ l = 11 cm
So,
Perimeter = l + 2r
⇒ 11 + 2 × 14
⇒ 11 + 28 = 39 cm