Question

A circle with circumference 18 has an arc in with 120 central angel what is the length of the arc?

Answer 1

Answer:6.1

Explanation:

Φ=120

circumference=18

radius=r

Circumference=2xπxr

18=2x3.14xr

18=6.28 x r

Divide both sides by 6.28

18/6.28=(6.28xr)/6.28

2.9=r

r=2.9

Length of arc =Φ/360 x 2 x π x r

Length of arc =120/360 x 2 x 3.14 x 2.9

Length of arc =(120x2x3.14x2.9) ➗ 360

Length of arc =2185.44/360

Length of arc =6.1

Answer 2

length of the arc = 6 units

Explanation:

`given : c = 18, \: central \: \angle \: ( \theta) = 120 \degree, \: l =? \\ l = ( \theta)/(360 \degree) * c \\ \\ l = (120 \degree)/(360 \degree) * 18 \\ \\ l = (1)/(3) * 18 \\ \\ l = 6 \: units`