# Graphs of Circles Worksheets

How to Determine Equation of Circle - A Circle is a certain shape and that has a set of points in a plane placed at equal distance from a single point called the center of the circle. A circle is the locus of all points intermediate from a central point. A curved line that is fragment of the circumference of a circle or a line segment within a circle that touches 2 points on the circle. The circle equation of the center radius form is in this format (x – h)2 + (y - k)2 = r2, With the center being at the point (h & k) and the radius being "r". This form of the equation is useful, since you can easily find the center and the radius. We use the circle formula to calculate the area, diameter, and circumference of a circle. The length between any point on the circle is known as its radius. Any line that passes through the center of the circle and connects two points is known as the diameter of the circle. Radius is half the length of a diameter of the circle. Thea area of the circle describes the amount of space covered by the circle and the length of the boundary of the circle is known as its circumference.

• ### Basic Lesson

Guides students solving equations that involve an Graphs of Circles. Demonstrates answer checking. Write the equation of a circle with center at (3,-5) and a radius of 3.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. Where does the circle formula come from?

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Graphs of Circles. What is the equation of a circle whose diameter is 26 and whose center is at the origin?

• ### Independent Practice 2

Students find the Graphs of Circles in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Graphs of Circles.

• ### Skill Quiz

This tests the students ability to evaluate Graphs of Circles.