Question

A circle has a circumference of \blue{8}8start color #6495ed, 8, end color #6495ed. It has an arc of length \dfrac{32}{5} 5 32 ​ start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees? 18 ^\circ ∘

Answer 1

288

Explanation:

Answer 2

The central angle of the arc is 288 degrees

Explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that

The circumference of the circle subtend a central angle of 360 degrees

so

uing a proportion

Find out the central angle for an arc of length 32/5

`(8)/(360^o)=((32/5))/(x)\\\\x=360(32/5)/8\\\\x=288^o`