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Find the angle at which an arc of length 22 cm subtends at the centre...

Mathematics
WAEC 2019

Find the angle at which an arc of length 22 cm subtends at the centre of a circle of radius 15cm.  [Take \(\pi = \frac{22}{7}\)]

  • A. 70\(^o\)
  • B. 84\(^o\)
  • C. 96\(^o\)
  • D. 156\(^o\)
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Correct Answer: Option B
Explanation

L = \(\frac{\theta}{360} \times 2 \pi r\)

22 = \(\frac{\theta}{360} \times 2 \times \frac{22}{7} \times 15\)

\(\theta = \frac{22 \times 360 \times 7}{2 \times 22 \times 15}\)

\(\theta\) = 84\(^o\) 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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
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
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709