Question

what is the measure of the central angle of a circle with a radius 24 ft that intercepts at 10 ft arc? use 3.14 as pie​

Answer 1

central angle =23.88°

Explanation:

Given:Arc length =10ft

radius= 24ft

To find : central angle

Formula: Arc length = 2πr.
`(\theta)/(360)`°

⇒
`{\theta}` =
`\frac{arc length.360}{2{\pi}{r}}`

⇒
`{\theta}` =
`\frac{10(360{\degree})}{2 (3.14)(24)}`

⇒
`{\theta}=`23.8853503°