These worksheets can be used to introduce and practise the new GCSE topic of equation of a circle (centred at origin) and the equation of a tangent to a circle.
The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it.
The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included.
The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.
The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it.
The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included.
The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.
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