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