JAMB 2017 · UTME · Q12

Circle geometry
Plane mensuration

$PQRSTV$ is a regular hexagon of side $7\text{ cm}$ inscribed in a circle. Find the circumference of the circle. $\left[\text{Take }\pi = \frac{22}{7}\right]$

Worked solution (try it first)

A regular hexagon splits into six equilateral triangles from the centre, so the radius equals the side: $r = 7$ cm.
Circumference $= 2\pi r = 2 \times \frac{22}{7} \times 7$ .
So the circumference is 44 cm, option C.

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