A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc

Question

asked Aug 26, 2021 130k views

2 Answers

Ovmjm · Answer 1 · 2021-08-30T04:57:04+0000

Answer:3.3

Explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28=(6.28 x r) /6.28

1.3=r

r=1.3

Length of arc =Φ/360 x 2 x π x r

Length of arc =288/360 x 3.14 x 1.3

Length of arc =0.8 x 3.14 x 1.3

Length of arc =3.3