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 formula to find the diameter (d) of a circle when the radius (r) is given is:

d = 2 * r

- The diameter is twice the length of the radius.
- The diameter is the longest chord of the circle.
- It passes through the center of the circle.
- The diameter divides the circle into two equal semicircles.

Example 1: If the radius of a circle is 5 cm, find the diameter.

Solution: Using the formula, d = 2 * r, we get d = 2 * 5 = 10 cm. So, the diameter of the circle is 10 cm.

Example 2: If the diameter of a circle is 12 inches, find the radius.

Solution: Since d = 2 * r, we can rearrange the formula to solve for r: r = d / 2. Substituting the given value, we get r = 12 / 2 = 6 inches. So, the radius of the circle is 6 inches.

Here are some key points to remember about the diameter of a circle:

- The diameter is a line segment passing through the center of the circle.
- It is twice the length of the radius.
- The formula to find the diameter is d = 2 * r.
- The diameter divides the circle into two equal halves called semicircles.

Practice using the formula to find the diameter when the radius is given, and vice versa. Also, solve problems involving the diameter in real-life situations to strengthen your understanding of this concept.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.