Draw the regular polygons with the given conditions:
1. Regular hexagon with side length of 3 cm
2. Regular octagon whose side measures 3 in.
3. Decagon with 5 cm as side length
Answer (2)
To draw regular polygons based on specific side lengths, create a hexagon with 3 cm sides by marking 6 points on a circle; an octagon with 3 in sides by marking 8 points; and a decagon with 5 cm sides by marking 10 points. These methods show how to use circles to create polygons accurately. Using a compass and ruler will ensure precision.
;
To draw regular polygons, you need to understand that a regular polygon is a shape with all sides and angles equal.
Regular hexagon with side length of 3 cm:
A regular hexagon has six sides.
Start by drawing a straight line segment of 3 cm as one side of the hexagon.
Place the center of a compass on one endpoint of the line segment, set the compass to a width of 3 cm, and draw an arc.
Without changing the compass width, move the compass to the other endpoint of the line and draw another arc intersecting the first arc.
From each point of intersection, draw arcs with the same compass width to form a circle.
Connect each point of intersection on the circle to form a hexagon.
Regular octagon whose side measures 3 in:
A regular octagon has eight sides.
Start by drawing a line segment 3 inches long.
Using a protractor, measure and mark 135° angles on each endpoint of the line segment.
Draw a line from each marked angle as another side of the octagon measuring 3 inches.
Repeat the process of measuring 135° angles and drawing 3 inch line segments.
Continue until all eight sides are completed and closed.
Decagon with 5 cm as side length:
A decagon has ten sides.
Begin by drawing a straight line segment of 5 cm length.
Use a protractor to measure a 144° angle from the endpoint and draw the next side, also 5 cm in length.
Continue this process of drawing 144° angles and line segments of 5 cm until you complete all ten sides of the decagon.
Each of these processes ensures all sides and angles are equivalent, forming regular polygons. Be patient and precise with measurements to ensure accuracy.
