These worksheets teach your students how to write the standard form of a graphed circle.

How do you find the equation of a circle? Every curve in a geometry is represented by an equation just like a straight line is represented by y=mx+b. There is an equation for a circle to, but how do we find it? The standard form of a circle is (x-h)2 + (y-k)2 = r2, this is when the center of the circle is not the origin. If this is the case we use the following equation; x2 + y2 = r2. Here, h and k are x-coordinate and y-coordinate of the center if the circle respectively, and r is the radius. When you know these numbers, you can easily find the equation of the circle.

This batch of lessons and worksheets has us trying to make sense of the equations of circle on a coordinate grid. You will be asked to identify circle from their equation and also to create your own equation from a given circle. On the coordinate plane, the standard form equation of a circle is: (x - h)2 + (y -k)2 = r2 , h and k are the x and y coordinates of the center of the circle. In many cases you will be matching equations to circles. You will also need to determine the center and radius of the circles you are exploring. These worksheets explain the standard form equation of a circle, and how to find the standard form, center, and radius of a circle. Students may also calculate circle circumference, diameter, etc.



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Print Equations of Circles Worksheets

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Standard Form Equation of a Circle Lesson

This worksheet explains the standard form equation of a circle. On the coordinate plane, the standard form equation of a circle is: (x - h)2 + (y - k)2 = r2 , h and k are the x and y coordinates of the center of the circle. A sample problem is solved, and two practice problems are provided.

Practice Worksheet

Students will match the standard form equations to the graphs. Ten problems are provided.

My Practice

Ten graphs are provided. Students will match each to its standard form equation.

Class Review

The concept of standard form equations of a circle is reviewed. A sample problem is solved.

Standard Form Equation of a Circle Practice

Given graphs, students will match them to their standard form equations. Six practice problems are provided.

Standard Form Quiz

Students will demonstrate their proficiency in matching standard form equations with their graphs. Ten problems are provided.

Skills Check

Students will match graphs to their standard form equations. Three problems are provided, and space is included for students to copy the correct answer when given.

Standard Form, Center, and Radius Lesson

This worksheet explains how to find the standard form, center, and radius of a circle. A sample problem is solved, and two practice problems are provided.

Standard Form, Center, and Radius Worksheet

Students will find the standard form, center, and radius of various circles. Ten problems are provided.

Those Measures Practice Worksheet

We are practicing those same skills at the same rep. Ten problems are provided.

Review and Practice

This worksheet reviews how to find standard form, center, and radius of a circle. A sample problem is solved, and six practice problems are provided.

3 Measures Quiz

Students will demonstrate their proficiency finding those three measures we have been working on: standard form, center, and radius of a circle. Ten problems are provided.

All the Skills Check

The same old measures are staked out for us to work on. Three word problems are provided, and space is included for students to copy the correct answer when given.

Find the Standard Form of the Circle Lesson

This worksheet explains how to write the standard form of the equation of the circle with the given radius and center. A sample problem is solved, and two practice problems are provided.

Find the Standard Form of the Circle Worksheet

Students will find the standard form of the equation of the circle with the given radius and center. Ten problems are provided.

Find the Standard Form of the Circle Practice

Given the radius and the center, students will the standard form of the equation of the circle. Ten problems are provided.

Find the Standard Form of the Circle Review and Practice

This worksheet reviews how to find the standard form of the equation of the circle with the given radius and center. A sample problem is solved, and six practice problems are provided.

Find the Standard Form of the Circle Quiz

Students will demonstrate their proficiency finding the standard form of the equation of the circle with the given radius and center. Ten problems are provided.

Find the Standard Form of the Circle Skills Check

Students will find the standard form of the equation of the circle with the given radius and center. Three word problems are provided, and space is included for students to copy the correct answer when given.

Equations of a Circle Lesson

This worksheet explains how to write the center radius equation of a circle. A sample problem is solved, and two practice problems are provided.

Equations of a Circle Worksheet

Students will find the center radius equation of a circle. Ten problems are provided.

Equations of a Circle Practice

Students will determine the center radius equation of a circle. Ten problems are provided.

Equations of a Circle Review and Practice

This worksheet reviews how to find the center radius equation of a circle. A sample problem is solved, and six practice problems are provided.

Equations of a Circle Quiz

Students will demonstrate their proficiency finding the center radius equation of a circle. Ten problems are provided.

Equations of a Circle Skills Check

Students will find the find the center radius equation of the given circles. Three word problems are provided, and space is included for students to copy the correct answer when given.