Question

put the steps, for changing the formula for the arc length of a circle in degrees to the formula for the arc length of a circle in radians in the correct order.​

Answer 1

9514 1404 393

Answer:

  top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

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Write the formula for the arc length of a circle with central angle, θ, in degrees.

  $\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r$

Replace 360° with 2π radians.

  $\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}$

Replace the angle ratio in degrees with the angle ratio in radians.

  $\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r$

Simplify by cancelling

  $\textit{Arc Length}=\theta r$