Solving Circle Equations - Solve each problem - Round to two decimal places

Sep 30, 2026

Uploaded by Theodore

Worksheet focused on solving circle equations by using given x and radius values to find y, or given y and radius to find x, and sometimes using x and y to determine the radius. Problems require setting up the circle relationship, computing the missing variable(s), and rounding all final answers to two decimal places. An accompanying answer key provides correct results with both positive and negative solutions when applicable.

LanguageEnglish

CategoryExam

FormatPDF

Pages30

Reading Time1 h 16 min

AccessFree to download

Solve Each Problem

Round to Two Decimal Places

Find y, x, or radius

Solving Circle Equations Name: | Solve each problem. Round to two decimal places.
1) x value of 3 and radius of 7. Find the value of y. | | | | | | | | Answers
1. | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) x value of 3 and radius of 6. Find the value of y. | | | | | | | | 2. | | | | | | | 3) y value of 3 and x value of 8.49. Find the radius. | | | | | | | | 3.
4. | | | | | | | 4) x value of 3 and y value of 2. Find the radius. | | | | | | | | 5. | | | | | | | 5) y value of 3 and x value of 6.32. Find the radius. | | | | | | | | 6.
7. | | | | | | | 6) x value of 4 and radius of 6. Find the value of y. | | | | | | | | 8. | | | | | | | 7) x value of 4 and radius of 7. Find the value of y. | | | | | | | | 9.
10. | | | | | | | 8) y value of 4 and x value of 8.06. Find the radius. | | | | | | | | 11. | | | | | | | 9) x value of 5 and radius of 8. Find the value of y. | | | | | | | | 12.
13. | | | | | | | 10) x value of 4 and radius of 10. Find the value of y. | | | | | | | | | | | | | | | 11) x value of 3 and radius of 9. Find the value of y. | | | | | | | | | | | | | | | 12) y value of 2 and x value of 8.77. Find the radius. | | | | | | | | | | | | | | | 13) y value of 2 and x value of 9.80. Find the radius. | | | | | | | | | | | | | | |
Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10
11-13 | 92 | 85 | 77 | 69 | 62 | 54 | 46 | 38 | 31 | 23 | | | | | | 15 | 8 | 0 | | | | | | | | Solving Circle Equations Name: Answer Key | Solve each problem. Round to two decimal places.
1) x value of 3 and radius of 7. Find the value of y.
y2 = 72-32 | | | | | | | | Answers
1. ±6.32 | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | y = ±40
x value of 3 and radius of 6. Find the value of y.
y2 = 62-32
y = ± 27
| | | | | | | 2. ±5.20
3. ±8.49 | | | | | | | | 3) | y value of 3 and x value of 8.49. Find the radius.
x2 = 92-32 | | | | | | | 4. ±3.61 | | | | | | | | 4) | x = ±72
x value of 3 and y value of 2. Find the radius.
r2 = 32 + 22
r = ± 9
| | | | | | | 5. ±6.32
6. ±4.47 | | | | | | | | 5) | y value of 3 and x value of 6.32. Find the radius.
x2 = 72-32 | | | | | | | 7. ±5.74 | | | | | | | | 6) | x = ±40
x value of 4 and radius of 6. Find the value of y.
y2 = 62-42
y = ± 20
| | | | | | | 8. ±8.06
9. ±6.24 | | | | | | | | 7) | x value of 4 and radius of 7. Find the value of y.
y2 = 72-42 | | | | | | | 10. ±9.17 | | | | | | | | 8) | y = ± 33
y value of 4 and x value of 8.06. Find the radius.
x2 = 92-42
x = ± 65

| | | | | | | 11. ±8.49
12. ±8.77 | | | | | | | | 9) | x value of 5 and radius of 8. Find the value of y.
y2 = 82-52 | | | | | | | 13. ±9.80 | | | | | | | | 10) | y = ± 39
x value of 4 and radius of 10. Find the value of y.
y2 = 102-42
| | | | | | | | | | | | | | | 11) | y = ±84
x value of 3 and radius of 9. Find the value of y.
y2 = 92-32 | | | | | | | | | | | | | | | 12) | y = ± 72
y value of 2 and x value of 8.77. Find the radius.
x2 = 92-22
| | | | | | | | | | | | | | | 13) | x = ±77
y value of 2 and x value of 9.80. Find the radius.
x2 = 102-22
x = ± 96
| | | | | | | | | | | | | | | | Math
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10
11-13 | 92 | 85 | 77 | 69 | | 62 | 54 | 46 | 38 | 31 | 23 | | | | | | 15 | 8 | 0 | | | | | | | | | Solving Circle Equations Name: | Solve each problem. Round to two decimal places. | | | 1. | |

FAQs

How should answers be formatted on this worksheet?

Round each answer to two decimal places.

When the worksheet gives x and the radius, what do you solve for?

You find the corresponding y value.

When the worksheet gives x and y values, how do you proceed?

You use them to solve for the radius of the circle.

Sep 30, 2026

Uploaded by Theodore