Question on: JAMB Mathematics - 2020
The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
A
\(\frac{\pi r}{3}\)
B
\(\frac{\pi r}{2}\)
C
\(\frac{\pi r}{12}\)
D
\(\frac{\pi r}{6}\)
Ask EduPadi AI for a detailed answer
Correct Option: A
\(\frac{ \frac{r}{2}}{r}\) Sin \(\theta\) = \(\frac{1}{2}\)Â
\(\theta\) = sin\(^{-1}\) (\(\frac{1}{2}\)) = 30\(^o\) = 60\(^o\)Â
Length of the minor arc:
ST = \(\frac{\theta}{360}\) x 2\(\pi r\)Â
\(\frac{60}{360} \times 2 \pi \times r = \frac{\pi}{3}\)Â
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