Answer:
circumference = 5.625 ft
Step-by-step 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
