Diameter Study Guide
Definition of Diameter
The diameter of a circle is a straight line segment that passes through the center of the circle, connecting two points on the circle. It is the longest chord of the circle.
Formula for Diameter
The formula to calculate the diameter of a circle is: Diameter (d) = 2 * Radius (r)
Properties of Diameter
- The diameter is twice the length of the radius.
- The diameter divides the circle into two equal halves, known as semicircles.
- The diameter is the longest chord of the circle.
Examples
Let's consider a circle with a radius of 5 units. To find the diameter:
Diameter (d) = 2 * 5 = 10 units
Practice Problems
1. Find the diameter of a circle with a radius of 8 cm.
Diameter (d) = 2 * 8 = 16 cm
2. A circle has a diameter of 12 inches. What is the radius of the circle?
Radius (r) = Diameter (d) / 2 = 12 / 2 = 6 inches
Summary
The diameter of a circle is a fundamental concept in geometry. It is the longest chord of the circle and is used to calculate various properties of circles and circular objects.
.◂Math Worksheets and Study Guides Seventh Grade. Nonlinear Functions and Set Theory
Study Guide
Nonlinear Functions and Set Theory 
Worksheet/Answer key
Nonlinear Functions and Set Theory Worksheet/Answer key
Nonlinear Functions and Set Theory Worksheet/Answer key
Nonlinear Functions and Set Theory Worksheet/Answer key
Nonlinear Functions and Set Theory Worksheet/Answer key
Parabolas
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Algebra (NCTM)
Represent and analyze mathematical situations and structures using algebraic symbols.
Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.
Analyze change in various contexts.
Use graphs to analyze the nature of changes in quantities in linear relationships.