# When constructing an inscribed regular hexagon and you are given a point on the circle How many arcs will be drawn on the circle?

**regular hexagon**is

**inscribed**in a

**circle**, there

**will**be 6 equal

**arcs drawn on the circle**. Explanation: A

**regular hexagon**has 6 equal sides and 6 equal angles. If the radius of the

**circle**is r, the circumference of the

**circle will**be 2πr.

In this regard, when constructing an inscribed equilateral triangle How many arcs will be drawn on the circle?

Since the hexagon **construction** effectively divided the **circle** into six equal **arcs**, by using every other point, we divide it into three equal **arcs** instead. The three chords of these **arcs** form the desired **equilateral triangle**.

**Construct: a square inscribed in a circle.**

- STEPS:
- Using your compass, draw a circle and label the center O.
- Using your straightedge, draw a diameter of the circle, labeling the endpoints A and B.
- Construct the perpendicular bisector of the diameter, .
- Label the points where the bisector intersects the circle as C and D.

Secondly, how do you draw a regular hexagon inscribed in a circle?

As can be seen in Definition of a **Hexagon**, each side of a **regular hexagon** is equal to the distance from the center to any vertex. This construction simply sets the compass width to that radius, and then steps that length off around the **circle** to create the six vertices of the **hexagon**.

Procedure: Construct horizontal and vertical diameters and then bisect the quadrants of the **circle** to divide it into eight segments. Connect the endpoints of the four diameters to create an **octagon**. The number of sides of any **inscribed** polygon may be doubled by further bisecting the segments of the **circle**.