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A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate...

Mathematics
JAMB 2012

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

  • A. 30\(\pi\) cm\(^2\)
  • B. 60\(\pi\) cm\(^2\)
  • C. 120\(\pi\) cm\(^2\)
  • D. 150\(\pi\) cm\(^2\)
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Correct Answer: Option B
Explanation

Area of sector = \(\frac{\theta}{360°} \times \pi r^{2}\)

= \(\frac{150}{360} \times \pi \times 12^{2}\)

= 60\(\pi\) cm\(^{2}\)

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709