Maths Resources GCSE Worksheets


Equation of a tangent to a circle worksheet

Equation of a tangent to a circle worksheet

Help your students prepare for their Maths GCSE with this free equation of a tangent to a circle worksheet of 30 + questions and answers

  • Section 1 of the equation of a tangent to a circle worksheet contains 20+ skills-based equation of a tangent to a circle questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied equation of a tangent to a circle questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style equation of a tangent to a circle questions 
  • Answers and a mark scheme for all equation of a tangent to a circle questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Equation of a tangent to a circle at a glance


The tangent to a circle is a straight line that touches a curve at a single point. The distance from the centre of the circle (sometimes referred to a centre O) to the circumference of the circle is called the radius.


The radius of the circle and the tangent are perpendicular lines as they meet at a right angle. In order to find the equation of the tangent you need to find the gradient of the tangent which can be calculated by working out the reciprocal of the gradient of the line that intersects it at a right angle (the gradient of the radius).


Then you need to find the y intercept by substituting in the coordinates of the point where the tangent and radius intersect.


Looking forward, students can then progress to additional number worksheets, for example a Area and circumference of a circle worksheet or a Circles, Arcs And Sectors worksheet.



For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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GCSE Maths Worksheets

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