Question

Consider a circle. The length of the arc for the central angle of 45 degrees is 16cm, then the total circumference (perimeter) of the circle is

a) 126cm
b) 128cm
c) 162cm
d) 182cm

Answer 1

b

Explanation:

the arc length is calculated as

arc = circumference (C) × fraction of circle , then

16 = C ×
`(45)/(360)` = C ×
`(1)/(8)` ( multiply both sides by 8 )

128 = C

circumference of circle is 128 cm