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If A = \(\frac{\theta}{360}\)\(\pi r^2\), make \(\theta\) the subject of the formula

Mathematics
JAMB 2025

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. \(\theta\) = \(\frac{360 r^2}{\pi A}\)
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Correct Answer: Option C
Explanation

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:  \( \theta = \frac{360A}{\pi r^2} \)

There is an explanation video available below.


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Explanation Video

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