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Equations of Circles — Easy Worksheet 2
Grade 10 · MathSheets Name: ____________________ Date: __________
Write equations in standard form (x - h)^2 + (y - k)^2 = r^2. Write centers as (h, k). Use simplest radical form for radii that are not whole numbers.
How to solve
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Example
Write the equation of the circle with center (2, 3) and radius 2.
Answer: (x - 2)² + (y - 3)² = 4
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (3, 0) and radius 5.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (-1, -4) and radius 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (-4, -2) and radius 4.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (-3, 4) and radius 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (3, 2) and radius 1.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (0, 1) and radius 5.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (-4, 4) and radius 1.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Equations of Circles
A circle with center (h, k) and radius r has equation (x - h)2 + (y - k)2 = r2. Watch the signs: (x + 3)2 means h = -3. The number on the right is r2, so take its square root for the radius. If the equation is expanded, group the x terms and the y terms and complete the square for each.
Try a similar one
Write the equation of the circle with center (3, 4) and radius 4.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Equations of Circles — Easy Worksheet 2
Write equations in standard form (x - h)^2 + (y - k)^2 = r^2. Write centers as (h, k). Use simplest radical form for radii that are not whole numbers.