This document provides instructions for an assignment to graph circles. Students will be given either the equation of a circle, or information about its center, radius, or diameter, and must graph the circle and label the required points. There are 10 problems involving drawing and labeling circles from given equations or properties, and writing the equation if only properties are given. Students must show their work on the provided worksheet.
For this assignment, you will be given information about circles and.docx
1. For this assignment, you will be given information about circles
and asked to graph them. In some cases, the equation will be
given and in others, information about the center, radius and/or
diameter will be given and you will need to write the equation
and graph the circle. In all graphs, the center and at least four
points on the circle should be labeled with coordinate points –
for instance, (4, 0).
Scoring Guide – 50 Points Possible
Points Received
Points Possible
1) Graph the circle (x – 4)
2
+ (y – 2)
2
= 25.
1
Center
4
4 other points on the circle were correctly labeled
2) Graph the circle (x + 2)
2
+ (y + 1)
2
= 32
1
Center
2. 4
4 other points on the circle were correctly labeled
3) Graph the circle x
2
+ (y + 2)
2
= 9.
1
Center
4
4 other points on the circle were correctly labeled
4) Graph the circle with center at (4, 0) and radius 3. Write the
equation of the circle.
1
Center was labeled correctly.
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
5) Graph the circle with center at (-4, 2) and radius 5. Write the
equation of the circle.
1
Center was labeled correctly.
3. 2
4 other points on the circle were correctly labeled
2
Equation of the Circle
6) Graph the circle with center at (-1, 2) and diameter 12.
1
Center was labeled correctly.
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
7) Graph the circle with center at (3, -2), which also passes
through the point (0, 2).
1
Center was labeled correctly.
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
8) Graph the circle with center at (-1, -2), which also passes
through the point (0, 2).
4. 1
Center was labeled correctly.
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
9) Graph the equation with a diameter that has endpoints at (-3,
4) and (5, -2).
1
Center was located and labeled correctly
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
10) Graph the equation with a diameter that has endpoints at (-
2, -2) and (4, 2).
1
Center was located and labeled correctly
2
4 other points on the circle were correctly labeled
2
Equation of the Circle
MUST SHOW WORK ON THE WORKSHEET