Math Problem Statement
Since a hexagon has 6 sides, we need to divide the circle into 6 equal parts. 2. Each angle between the points will be:
- Starting from a point on the circle (let's say the point at the top, which we can call point A), mark the following points around the circle at $60^{\circ}$ intervals:
- Point B at $60^{\circ}$
- Point C at $120^{\circ}$
- Point D at $180^{\circ}$
- Point E at $240^{\circ}$
- Point F at $300^{\circ}$
Step 3: Connect the Points
- Connect the points A, B, C, D, E, and F in order to form the hexagon.
Summary
You have now drawn a regular hexagon with each side measuring 3 cm, inscribed in a circle with a radius of 3 cm. Each internal angle of the hexagon is $120^{\circ}$.Copy
Solution
Step-by-Step Guide to Drawing an Inscribed Hexagon
Step 1: Understanding the Geometry
A regular hexagon is a six-sided polygon where all sides and internal angles are equal. When inscribed in a circle, each vertex of the hexagon touches the circumference of the circle.
Step 2: Dividing the Circle
To divide the circle into six equal parts:
- Calculate the Central Angles: Since a circle is and a hexagon has 6 sides, each central angle between the vertices of the hexagon will be: [
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Math Problem Analysis
Mathematical Concepts
Geometry
Formulas
-
Theorems
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Suitable Grade Level
Grades 7-9
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