put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order​

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × [tex]\frac{0}{360}[/tex] ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × [tex]\frac{0}{2\pi }[/tex] ← where θ is in radians

( Cancel π on numerator/ denominator )

A = [tex]\frac{1}{2}[/tex]θr²

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Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

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

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2[/tex]

Simplify by cancelling

  [tex]\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2[/tex]

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