If A = \(\frac{\theta}{360}\)\(\pi r^2\), make \(\theta\) the subject of the formula
A
\(\theta\) =\(\frac{360}{π A}\)
B
\(\theta\) =\(\frac{360A}{π \theta}\)
C
\(\theta\) =\(\frac{360 A}{\pi r^2}\)
D
\(\theta\) = \(\frac{360 r^2}{\pi A}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Given:
\(A = \frac{\theta}{360} \pi r^2 \)
To make \(\theta\) the subject, isolate \(\theta\).
Multiply both sides by 360:
\(360A = \theta \pi r^2 \)
Divide both sides by \(\pi r^2\):
\( \theta = \frac{360A}{\pi r^2} \)
The rearranged formula is: \( \theta = \frac{360A}{\pi r^2} \)
Source: Myschool Past Questions Archive (Record #74174)