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A cone with a sector angle of 45° is cut out of a circle of radius...

Mathematics
JAMB 1997

A cone with a sector angle of 45° is cut out of a circle of radius r cm. Find the base radius of the cone.

  • A. \(\frac{r}{16}\) cm
  • B. \(\frac{r}{6}\) cm
  • C. \(\frac{r}{8}\) cm
  • D. \(\frac{r}{2}\) cm
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Correct Answer: Option C
Explanation

The formula for the base radius of a cone formed from the sector of a circle = \(\frac{r \theta}{360°}\)

= \(\frac{r \times 45°}{360°}\)

= \(\frac{r}{8} cm\)


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