Question

Rearrange the formula A = Θr2 2 for Θ.

Answer 1

Answer:

$\theta=\frac{2A}{r^{2} }$

Step-by-step explanation:

The given formula is

$A=\frac{\theta r^{2} }{2}$

We have to solve the formula for $\theta$. To do that, we first need to past the divisor 2 to the other side, as follows

$2A=\theta r^{2}$

Then, we have to move the squared radius to the other side with the opposite operation, that is, dividing

$\frac{2A}{r^{2} } =\theta \\\theta=\frac{2A}{r^{2} }$

Threfore, the given expression solved for $\theta$ is

$\theta=\frac{2A}{r^{2} }$

Answer 2

Answer:

$\theta=\frac{2A}{r^2}$

Step-by-step explanation:

Given : The formula $A=\frac{\theta r^2}{2}$

We have to rearrange the given formula for $\theta$

Consider the given formula $A=\frac{\theta r^2}{2}$

Multiply both side by 2, we have,

$2A={\theta r^2$

Divide both side by $r^2$ , we have,

$\frac{2A}{r^2}= \frac{\theta r^2}{r^2}$

Simplify, we get,

$\frac{2A}{r^2}=\theta$

Thus, $\theta=\frac{2A}{r^2}$