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
9514 1404 393
Answer:
top down: 2, 4, 1, 7, 6, 5, 3, 8
Step-by-step explanation:
It appears the expected order may be ...
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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]