An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7)
A.
14.67 cm
B.
73.33 cm
C.
101.33 cm
D.
513.33 cm
Correct Answer: 101.33 cm
Explanation
Length of the arc = θ/360 × 2πr
= 300/360 × 2 × 22/7 × 14
= 220/3
= 73.33 cm
Perimeter of the sector = Length of the arc + 2r
= 73.33 + 2(14)
= 101.33 cm
Length of the arc = θ/360 × 2πr
= 300/360 × 2 × 22/7 × 14
= 220/3
= 73.33 cm
Perimeter of the sector = Length of the arc + 2r
= 73.33 + 2(14)
= 101.33 cm