Question

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

Answer 1

Answer:

108°

Step-by-step 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

Answer:

108°

Step-by-step explanation:

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

Given:

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

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

$\implies 3 \pi=2 \pi (5)\left(\dfrac{\theta}{360^{\circ}}\right)$

$\implies 3 =10\left(\dfrac{\theta}{360^{\circ}}\right)$

$\implies 3 \cdot 360^{\circ} =10\:\theta$

$\implies \theta=\dfrac{1080^{\circ}}{10}$

$\implies \theta={108^{\circ}$