Diameter in Geometry
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord of the circle, and it divides the circle into two equal halves. The length of the diameter is twice the length of the radius of the circle.
Formula for Calculating the Diameter
The formula for calculating the diameter of a circle is:
center;">Diameter (d) = 2 * Radius (r)
Properties of the Diameter
- The diameter is the longest chord of the circle.
- It passes through the center of the circle.
- The length of the diameter is twice the length of the radius.
- It divides the circle into two equal halves.
Examples of Calculating the Diameter
Example 1: If the radius of a circle is 5 units, then the diameter would be:
center;">Diameter (d) = 2 * 5 = 10 units
Example 2: If the diameter of a circle is 12 cm, then the radius would be:
center;">Radius (r) = 12 / 2 = 6 cm
Study Guide
- Understand the definition of the diameter in geometry.
- Memorize the formula for calculating the diameter: D = 2 * r.
- Learn the properties of the diameter, such as its relationship to the radius and its role in dividing the circle.
- Practice calculating the diameter and radius of circles in various example problems.
- Master the concept of diameter as it relates to other geometric shapes and calculations.
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