Circle geometry: review: check 1
Difficulty: ★★☆Maths4U Original · Short practice
A circle has equation \(x^{2} - 34 x + y^{2} - 4 y + 277 = 0\).
Find the centre x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
A circle has equation \(x^{2} - 36 x + y^{2} - 6 y + 308 = 0\).
Find the centre x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: check 2
Difficulty: ★★☆Maths4U Original · Short practice
A circle has equation \(x^{2} - 36 x + y^{2} - 6 y + 308 = 0\).
Find the centre y-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
A circle has equation \(x^{2} - 38 x + y^{2} - 8 y + 341 = 0\).
Find the centre y-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: check 3
Difficulty: ★★☆Maths4U Original · Short practice
A circle has centre C=\(\left( 19, \ 4\right)\) and squared radius 29. P=\(\left( 21, \ 9\right)\) is a contact point. Here h=19.
Find the squared radius.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
A circle has centre C=\(\left( 20, \ 5\right)\) and squared radius 45. P=\(\left( 23, \ 11\right)\) is a contact point. Here h=20.
Find the squared radius.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: check 4
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 20\right)^{2} + \left(y - 6\right)^{2} = 400\) and the line is y=18.
Find the common y-coordinate of the intersections.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circle geometry: review: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 21\right)^{2} + \left(y - 2\right)^{2} = 25\) and the line is y=5.
Find the common y-coordinate of the intersections.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.