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

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}=(\theta)/(360^(\circ))\cdot 2\pi r`

Replace 360° with 2π radians.

`(\theta)/(360^(\circ))=(\theta)/(2\pi)`

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

`\textit{Arc Length}=(\theta)/(2\pi)\cdot 2\pi r`

Simplify by cancelling

`\textit{Arc Length}=\theta r`