Grade 10 · Math · Geometry

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

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Read and write the equation of a circle

Grade 10 Math Worksheet - Challenge Me

NameDate

Circle the best answer.

1.
Ari draws a round clock face on a grid. A diameter runs from D(-2, 1) to F(4, 9). Which equation is the circle?
- (x − 1)² + (y − 5)² = 25
- (x − 1)² + (y − 5)² = 100
- (x + 1)² + (y + 5)² = 25
- (x + 2)² + (y − 1)² = 100
2.
Bo draws a round pizza on a grid. A diameter runs from D(1, -3) to F(7, 5). Which equation is the circle?
Use the picture in question 1.
- (x − 1)² + (y + 3)² = 100
- (x − 4)² + (y − 1)² = 25
- (x + 4)² + (y + 1)² = 25
- (x − 4)² + (y − 1)² = 100
3.
Esme draws a round pond on a grid. A diameter runs from D(-1, 4) to F(7, 4). Which equation is the circle?
- (x + 3)² + (y + 4)² = 16
- (x − 3)² + (y − 4)² = 16
- (x + 1)² + (y − 4)² = 64
- (x − 3)² + (y − 4)² = 64
4.
Jun draws a sun shape in a mural on a grid. A diameter runs from D(0, 1) to F(2, 5). Which equation is the circle?
- (x + 1)² + (y + 3)² = 5
- (x − 1)² + (y − 3)² = 5
- x² + (y − 1)² = 20
- (x − 1)² + (y − 3)² = 20
5.
Kira draws a drum top on a grid as (x − 3)² + (y + 1)² = 16. Which inequality gives its domain (all its x-values)?
- -1 ≤ x ≤ 7
- -13 ≤ x ≤ 19
- -7 ≤ x ≤ 1
- -5 ≤ x ≤ 3
6.
Noah draws a round cake on a grid as (x + 2)² + (y + 6)² = 36. Which inequality gives its range (all its y-values)?
Use the picture in question 5.
- 0 ≤ y ≤ 12
- -8 ≤ y ≤ 4
- -12 ≤ y ≤ 0
- -42 ≤ y ≤ 30
7.
Grid: a circle through (1, 3), (-2, 6), (-5, 3) and (-2, 0); its center is not labeled. Pia traces a round clock face on a grid. Which equation matches the drawing?
- (x + 2)² + (y − 3)² = 3
- (x − 1)² + (y − 3)² = 9
- (x − 2)² + (y + 3)² = 9
- (x + 2)² + (y − 3)² = 9
8.
Ren traces a round pizza on a grid. Which equation matches the drawing?
- (x − 4)² + (y + 1)² = 25
- (x − 9)² + (y + 1)² = 25
- (x − 4)² + (y + 1)² = 5
- (x + 4)² + (y − 1)² = 25
9.
Tala traces a round pond on a grid. Which equation matches the drawing?
- (x − 1)² + (y − 2)² = 16
- (x − 5)² + (y − 2)² = 16
- (x − 1)² + (y − 2)² = 4
- (x + 1)² + (y + 2)² = 16
10.
Zee traces a sun shape in a mural on a grid. Which equation matches the drawing?
- (x + 3)² + (y + 5)² = 2
- (x + 3)² + (y + 5)² = 4
- (x + 1)² + (y + 5)² = 4
- (x − 3)² + (y − 5)² = 4

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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