brenxxBi0lNinydee brenxxBi0lNinydee

26-11-2016
Mathematics

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In a circle, a central angle whose measure is pi/2 radians intercepts an arc whose length is 3pi/2 centimeters. How many centimeters are in the radius of the circle?

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alsteva alsteva

29-11-2016

[tex]\frac{3\pi}{2}[/tex] cm = quarter of circumference

[tex]=\frac{2r\pi}{4}
\\
\\=\frac{r\pi}{2}
\\
\\ \Rightarrow r=3 \text{ cm}[/tex]

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