Question

Rearrange the formula A =
Θr2
2
for Θ.

Answer 1

`\theta=(2A)/(r^(2) )`

Explanation:

The given formula is

`A=(\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

`(2A)/(r^(2) ) =\theta \\\theta=(2A)/(r^(2) )`

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

`\theta=(2A)/(r^(2) )`

Answer 2

`\theta=(2A)/(r^2)`

Explanation:

Given : The formula
`A=(\theta r^2)/(2)`

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

Consider the given formula
`A=(\theta r^2)/(2)`

Multiply both side by 2, we have,

`2A={\theta r^2`

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

`(2A)/(r^2)= (\theta r^2)/(r^2)`

Simplify, we get,

`(2A)/(r^2)=\theta`

Thus,
`\theta=(2A)/(r^2)`