Question

Please explain how to do it because im very confused please and thank you!!!!!!!

Answer 1

108°

Explanation:

Formula :

Degree Measure = Arc length / radius x 180/π

Solving :

Degree Measure = 3π/5 x 180/π

Degree Measure = 3 x 36

Degree Measure = 108°

Answer 2

108°

Explanation:

`\textsf{Arc length}=2 \pi r\left((\theta)/(360^(\circ))\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}`

Given:

• diameter = 10 km ⇒ radius (r) = 5 km
• Arc length = 3π km

Substituting the given values into the formula and solving for
`\theta`:

`\implies 3 \pi=2 \pi (5)\left((\theta)/(360^(\circ))\right)`

`\implies 3 =10\left((\theta)/(360^(\circ))\right)`

`\implies 3 \cdot 360^(\circ) =10\:\theta`

`\implies \theta=(1080^(\circ))/(10)`

`\implies \theta={108^(\circ)`