Rearrange the formula A =

Θr2

2

for Θ.

Question

Answered

Verified Answer :

athleticregina athleticregina · Answer 1 · 2019-03-25T13:09:39-04:00

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, \(\theta=\frac{2A}{r^2}\)

jajumonac jajumonac · Answer 2 · 2020-02-22T19:16:30-05:00

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

\(\theta=\frac{2A}{r^{2} }\)