JAMB - Mathematics (2025 - No. 33)
If A = \(\frac{\theta}{360}\)\(\pi r^2\), make \(\theta\) the subject of the formula
\( \theta = \frac{360}{\pi A} \)
\( \theta = \frac{360A}{\pi \theta} \)
\( \theta = \frac{360A}{\pi r^2} \)
\( \theta = \frac{360 r^2}{\pi A} \)
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: \( \theta = \frac{360A}{\pi r^2} \)
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