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Klio2033 [76]
2 years ago
10

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

Mathematics
2 answers:
mezya [45]2 years ago
4 0

Answer:

<u>108°</u>

Step-by-step explanation:

Formula :

<u>Degree Measure = Arc length / radius x 180/π</u>

Solving :

Degree Measure = 3π/5 x 180/π

Degree Measure = 3 x 36

Degree Measure = <u>108°</u>

PtichkaEL [24]2 years ago
3 0

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}

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