

Equations of Circles
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Maggie Seawright
Used 221+ times
FREE Resource
4 Slides • 7 Questions
1
Equations of Circles

2
From the Equation
Make the signs on h and k OPPOSITE to get the center
Take the SQUARE ROOT of r2 to get the radius
If you don't SEE a h or k, then that means the coordinate is ZERO.
3
Multiple Choice
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-3, -2)
(-2, -3)
(2, 3)
4
Multiple Choice
In the equation (x-3)2+(y-2)2=16, the radius of the circle is...
16
32
8
4
5
Multiple Choice
In the equation x2+(y+5)2=10, what is the center?
(1, 5)
(-1, -5)
(0, 5)
(0, -5)
6
To Write the Equation
Make the signs on the center OPPOSITE before you plug them in for h and k.
SQUARE the radius (multiply it by itself) before you plug it in for r2
If you were given the diameter, then divide that by 2 to get the radius. And then square it before you plug it in as r2
7
Multiple Choice
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
(x - 2)2 + (y + 5)2 = 36
(x - 5)2 + (y + 2)2 = 6
(x + 5)2 + (y - 2)2 = 36
(x + 2)2 + (y - 5)2 = 6
8
Multiple Choice
Write the equation of a circle with center (7, 0) with radius 3.
(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3
9
From a Graph
Find the coordinates of the center. Make the signs on both of them OPPOSITE before you plug them in for h and k.
Find the radius by counting the distance from the center out to the edge of the circle. Then SQUARE that before you plug it in for r2
10
Multiple Choice
What is the equation for this circle?
(x+1)2+(y+1)2=9
x2+y2=9
x2+y2=6
x2+y2=3
11
Multiple Choice
What is the equation of the circle?
(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9
Equations of Circles

Show answer
Auto Play
Slide 1 / 11
SLIDE
Similar Resources on Wayground
8 questions
MAFS.912.G-GMD.2.4 Practice
Presentation
•
9th - 12th Grade
10 questions
Multiplying Polynomials Part 1
Presentation
•
9th - 12th Grade
7 questions
History of Imaginary Numbers - Part 2
Presentation
•
9th - 12th Grade
12 questions
Graphing Linear Inequalities Review
Presentation
•
9th - 12th Grade
9 questions
Y = MX + B Review
Presentation
•
9th - 12th Grade
10 questions
Writing an equation from a graph
Presentation
•
9th - 12th Grade
8 questions
{Exit Ticket} Types of Studies
Presentation
•
9th - 12th Grade
10 questions
Volume of Prisms and Cylinders
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
10 questions
Safety Day 2026 – Student Review
Quiz
•
9th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
16 questions
Subject & Predicate
Quiz
•
5th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
12 questions
Map Skills
Quiz
•
3rd Grade
22 questions
Continents and Oceans
Quiz
•
5th Grade
15 questions
Rounding Decimals
Quiz
•
5th Grade
Discover more resources for Mathematics
12 questions
Absolute Value Equations
Quiz
•
9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
11 questions
Slope from 2 points
Quiz
•
8th - 9th Grade
10 questions
Exploring the Basics of Exponents
Interactive video
•
6th - 10th Grade
10 questions
Solving Absolute Value Equations
Quiz
•
9th Grade
20 questions
Unit 5 Test RSC (25-26)
Quiz
•
10th Grade
18 questions
SB 12.2 Write in point slope form
Quiz
•
9th Grade
12 questions
Identify Rigid Transformations
Quiz
•
8th - 12th Grade