Recall · M4U-P1-QP-COORDINATE-GEOMETRY-CIRCLES-01
circle radius
Maths4U Original · Short practice
Find the radius of \((x-4)^2+(y+2)^2=49\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Pure 1 course · All short practice · Notes & examples
Maths4U Original · 9709 Pure 1
Circle equations and tangents
Check a short answer, use a hint, then study the reasoning. These checks assess the final answer; use the exam-style problems to practise written explanations.
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Method · M4U-P1-QP-COORDINATE-GEOMETRY-CIRCLES-02
expanded circle
Maths4U Original · Short practice
Find the x-coordinate of the centre of \(x^2+y^2-6x+8y=0\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Apply · M4U-P1-QP-COORDINATE-GEOMETRY-CIRCLES-03
diameter geometry
Maths4U Original · Short practice
A circle has diameter endpoints \((-2,1)\), \((4,9)\). Find its radius.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Check understanding · M4U-P1-QP-COORDINATE-GEOMETRY-CIRCLES-04
radius tangent
Maths4U Original · Short practice
The circle \(x^2+y^2=25\) has tangent at \((3,4)\). Which equation is that tangent?Choose one answer.
Syllabus follow-up · M4U-P1-QP-COORDINATE-GEOMETRY-CIRCLES-05
semicircle property
Maths4U Original · Short practice
AB is a diameter of a circle and C is a different point on that circle. What is angle ACB?Choose one answer.
Fresh review variant · M4U-P1-QP-VAR-COORDINATE-GEOMETRY-CIRCLES-01
circle radius
Maths4U Original · Short practice
Find the radius of \((x+3)^2+(y-1)^2=36\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-COORDINATE-GEOMETRY-CIRCLES-02
expanded circle
Maths4U Original · Short practice
Find the centre x-coordinate of \(x^2+y^2+4x-10y+4=0\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-COORDINATE-GEOMETRY-CIRCLES-03
diameter geometry
Maths4U Original · Short practice
A diameter has endpoints \((0,0)\), \((10,24)\). Find the radius.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-COORDINATE-GEOMETRY-CIRCLES-04
radius tangent
Maths4U Original · Short practice
Find the tangent gradient to \(x^2+y^2=25\) at \((4,3)\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-COORDINATE-GEOMETRY-CIRCLES-05
semicircle property
Maths4U Original · Short practice
AB is a circle diameter. C is another point on the circle. If angle ABC is \(28^\circ\), find angle BAC in degrees.Enter one number or fraction. Round decimals to at least six decimal places when needed.