Radius

The radius of a circle is the distance from the center of the circle to any point on the circle. It is denoted by the letter "r". The radius is a fundamental measurement in the study of circles and is used in various calculations related to circles, such as finding the circumference, area, and diameter.

Calculating the Radius

To calculate the radius of a circle, you can use the formula:

r = c / (2π)

Where "c" is the circumference of the circle and "π" is a mathematical constant approximately equal to 3.14159.

Properties of the Radius

Some key properties of the radius include:

The radius is always half the length of the diameter of the circle.
All radii of the same circle are congruent (they have the same length).
The radius is perpendicular to any tangent line drawn to the circle at the point of contact.

Study Guide

When studying the concept of radius, it's important to understand the following:

Definition of the radius and its significance in the context of a circle.
How to calculate the radius using the formula r = c / (2π).
Relationship between the radius and diameter of a circle.
Practical applications of the radius in real-life situations, such as measuring the size of circular objects.
Solving problems involving the radius, circumference, and area of circles.

Understanding the concept of radius is crucial for further studies in geometry, trigonometry, and other branches of mathematics that deal with circular shapes and measurements.

◂Math Worksheets and Study Guides Seventh Grade. Fraction Operations

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.