Question

Find the circumference of circle L. Write your answer as a mixed number or decimal.

LO 112°
1.75 ft
The circumference is
feet.

Answer 1

circumference = 5.625 ft

Explanation:

The complete question is to find the circumference of a circle when given the center angle as 112° and the length of the arc surrounding the angle is given as 1.75 ft.

Using the length of arc formula one can calculate the circumference of a circle.

length of an arc = ∅/360 × 2πr

note the circumference of a circle = 2πr

length of arc = 1.75 ft

∅ = 112°

Therefore,

1.75 = 112/360 × 2πr

multiply both side by 360/112

1.75 × 360/112 = 2πr

630/112 = 2πr

2πr = 5.625 ft

circumference = 5.625 ft