Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and…

Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45^o

Correct Answer: Option C

Explanation

Perimeter = OP + OQ + PQ
= 8 + 8 + PQ
length PQ = (frac{theta}{360 times 2pi r})
= (frac{45}{360}) x 2 x (pi) x 8
= 2(pi)
Perimeter of sector 2r + L
Where l = length of arc and r = radius
∴ P = 2(8) + 2(pi)
= 16 + 2(pi)