JAMB - Mathematics (1997 - No. 26)

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.
\(\frac{r}{16}\) cm
\(\frac{r}{6}\) cm
\(\frac{r}{8}\) cm
\(\frac{r}{2}\) cm

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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