Answer:
[tex]\theta=\frac{2A}{r^2}[/tex]
Step-by-step explanation:
The given formula is
[tex]A=\frac{1}{2}\theta r^2[/tex]
We need to rearrange the given formula for θ.
Multiply both sides by 2.
[tex]A\times 2=\frac{1}{2}\theta r^2\times 2[/tex]
Cancel out common factors.
[tex]2A=\theta r^2[/tex]
Divide both sides by r².
[tex]\frac{2A}{r^2}=\frac{\theta r^2}{r^2}[/tex]
[tex]\frac{2A}{r^2}=\theta[/tex]
Therefore the required formula is [tex]\theta=\frac{2A}{r^2}[/tex].
