Hexagon is a polygon that has six straight sides. So then, the required answer is: option C. Place the compass at P and draw an arc of length OP across the circle.
Polygons are plane shapes with three or more length of sides. They can be regular or irregular and are named with respect to their number of sides. Examples are: trigon, quadragon, pentagon, hexagon, octagon etc.
A hexagon is a polygon with six sides. To construct a hexagon in a given circle, the following steps are required:
The diameter of a circle is line that passes through the center of the circle dividing it into two equal parts.
- Draw the given circle with center O and diameter PQ.
- Join the diameter, PQ, with a straight line.
- Using the radius of the circle, OP, place the compass at P and draw an arc through the circumference of the circle upwards (R) and downwards (T).
- Repeat the previous step using point Q as the center. Label the points where the arcs cut the circumference S and U respectively.
- Join points PR, RS, SQ, QU, UT and TP.
This would produce the required regular hexagon.
Therefore, the next step of the construction is: option C. Place the compass at P and draw an arc of length OP across the circle.
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