A circle is a shape that has all points in the plane at an equal distance from the center. The diameter of a circle is a straight line that passes through the center of the circle and has its endpoints on the circle itself. It is the longest distance that can be measured across a circle.

Formulas

The formula for calculating the diameter of a circle is:

Diameter (d) = 2 * Radius (r)

Example

If the radius of a circle is 5 units, then the diameter would be:

Diameter = 2 * 5 = 10 units

Study Guide

Understand the concept of a circle and its properties.
Learn the difference between the radius and diameter of a circle.
Practice using the formula to calculate the diameter of a circle.
Apply the concept to solve real-life problems involving circles.

Remember, the diameter of a circle is always twice the length of its radius. Understanding this concept will help you in various mathematical and real-world scenarios.

◂Math Worksheets and Study Guides Sixth Grade. Diameter of Circle

The resources above cover the following skills:

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.