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

^{o}-
**A.**

2(pi) -
**B.**

8 + 2(pi) -
**C.**

16 + 2(pi) -
**D.**

16 + 16(pi)

##### 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)