A circle has equation x2 y2 4 circle. Make sure you are happy with the following topics perpendicular lines equations of a straight line.
Maths revision video and notes on the topic of the equation of a circle.
Equation of a circle worksheet gcse. Answer the following questions. Work out the coordinates of q. Use the example above as a model.
You need to be able to plot them as well as calculate the equation of tangents to them. Visit the post for more. Use the information provided to write the standard form equation of each circle.
B o2b0j1 42k hkxust xa4 wshoaf7t tw3afrxew 9lhlhcv x 6 eafl rl k lr liuguhat 4s8 jrae ts ee 5rjv vexde h r nmza sd4e v jw wiwtyhn bi8n uf6i 4n fi ktje i ngae0ovmfe5tor fyo 3 worksheet by kuta software llc kuta software infinite geometry name equations of circles date period. 11 7 equations of circles 631 equation of a circle the equation of a circle is x 2 2 2 1 y 1 3 2 5 4. Create your own worksheets like this one with infinite algebra 2.
I hope you find these usef. Tell whether the point is on the circle inside the circle or outside the circle. Line qr is a tangent to the circle passing through the point p.
1 calculate the distance op 2 hence write down the equation of the circle 3 calculate the equation of the tangent line qr. Questions involving circle graphs are some of the hardest on the course. Circle graphs are another type of graph you need to know about.
Gcse 9 1 exam questions 2017 specs solutions worksheet solutions. Equation of a circle h a collection of 9 1 maths gcse sample and specimen questions from aqa ocr pearson edexcel and wjec eduqas. Detailed typed answers are provided to every question.
These are two worksheets on circle equations with step by step solutions. 1 8 x x2 2y 64 y2 x 4 2 y 1 2 81. Videos worksheets 5 a day and much more.
Equations of circles author. The graph above shows a circle centred at the origin o. The point p lies on the circle and has coordinates 36 15.
The diagram shows the circle x2 y2 10 p lies on the circle and has x coordinate 1 the tangent at p intersects the x axis at q.