Grade 10 · Math · Geometry

10th grade Read and write the equation of a circle worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Read and write the equation of a circle

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Ari draws a round clock face on a grid as (x − 3)² + (y + 2)² = 16. Where is its center?
Bo draws a round pizza on a grid as (x + 4)² + (y − 1)² = 9. Where is its center?
Use the picture in question 1.
Esme draws a round pond on a grid as (x − 5)² + (y − 6)² = 49. Where is its center?
Use the picture in question 1.
Jun draws a sun shape in a mural on a grid as (x + 1)² + (y + 7)² = 25. Where is its center?
Use the picture in question 1.
a circle with center C(6, -1); a radius is drawn as the long side of a right triangle under it. Milo draws a bike wheel on a grid as (x − 6)² + (y + 1)² = 16. How long is its radius, in units?
a circle with center C(-2, -5); a radius is drawn as the long side of a right triangle under it. Noah draws a round cake on a grid as (x + 2)² + (y + 5)² = 64. How long is its radius, in units?
7.
a circle with center C(2, -5); a radius is drawn as the long side of a right triangle under it. Pia draws a round clock face with center (2, -5) and radius 3 on a grid. Which equation is the circle?
- (x − 2)² + (y + 5)² = 3
- (x − 2)² + (y + 5)² = 9
- (x + 2)² + (y − 5)² = 3
- (x + 2)² + (y − 5)² = 9
8.
a circle with center C(-1, 4); a radius is drawn as the long side of a right triangle under it. Ren draws a round pizza with center (-1, 4) and radius 6 on a grid. Which equation is the circle?
- (x + 1)² + (y − 4)² = 6
- (x − 1)² + (y + 4)² = 6
- (x − 1)² + (y + 4)² = 36
- (x + 1)² + (y − 4)² = 36
9.
a circle with center C(3, 3); a radius is drawn as the long side of a right triangle under it. Tala draws a round pond with center (3, 3) and radius 5 on a grid. Which equation is the circle?
- (x + 3)² + (y + 3)² = 25
- (x − 3)² + (y − 3)² = 25
- (x + 3)² + (y + 3)² = 5
- (x − 3)² + (y − 3)² = 5
10.
Zee draws a sun shape in a mural with center (-6, -2) and radius 4 on a grid. Which equation is the circle?
- (x + 6)² + (y + 2)² = 4
- (x − 6)² + (y − 2)² = 4
- (x + 6)² + (y + 2)² = 16
- (x − 6)² + (y − 2)² = 16

10th grade Read and write the equation of a circle worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Equations of circles. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can read the center and the radius from a circle's equation.
I can write the equation from the center and the radius, a point on it, a diameter, or a drawing.
I can tell whether a point is on, inside or outside a circle, and give its domain and range.

Standard: G-GPE.A.1

Words to know

center (h, k): The middle point; every point of the circle is one radius from it.

radius r: The distance from the center to the circle.

r²: The radius squared: the number on the right of the equation.

diameter: A segment through the center from one side to the other: two radii.

domain, range: All the x-values, all the y-values of the circle.

Common mistakes

Your child flipped the signs of the center.

Your child swapped the center's coordinates.

Your child used r² as the radius.

What to say

Ask: in (x − 3), what number makes the bracket zero?

Ask: which bracket has x in it?

Ask: if r² = 16, what is r?

Questions parents ask

What is the most common mistake with read and write the equation of a circle?

Your child flipped the signs of the center.

How can I help my child with read and write the equation of a circle?

Ask: in (x − 3), what number makes the bracket zero?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More geometry

See all Geometry

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