Circles in a coordinate design: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Circle 1 has centre \(\left( 18, \ 2\right)\) and radius 9. Circle 2 has centre \(\left( 31, \ 2\right)\) and radius 4.
Find the centre distance.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Circle 1 has centre \(\left( 19, \ 3\right)\) and radius 5. Circle 2 has centre \(\left( 22, \ 3\right)\) and radius 2.
Find the centre distance.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Circle 1 has centre \(\left( 19, \ 3\right)\) and radius 5. Circle 2 has centre \(\left( 22, \ 3\right)\) and radius 2.
Find the contact point x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Circle 1 has centre \(\left( 20, \ 4\right)\) and radius 7. Circle 2 has centre \(\left( 30, \ 4\right)\) and radius 3.
Find the contact point x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: check 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.
Circles in a coordinate design: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
A circle has centre C=\(\left( 21, \ 2\right)\) and squared radius 25. P=\(\left( 25, \ 5\right)\) is a contact point. Here h=21.
Find the squared radius.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: check 4
Difficulty: ★★☆Maths4U Original · Short practice
A circle has centre C=\(\left( 21, \ 2\right)\) and squared radius 25. P=\(\left( 25, \ 5\right)\) is a contact point. Here h=21.
Find the tangent height at x=h.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Circles in a coordinate design: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
A circle has centre C=\(\left( 22, \ 3\right)\) and squared radius 20. P=\(\left( 24, \ 7\right)\) is a contact point. Here h=22.
Find the tangent height at x=h.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.