GCSE Maths: Equation of a Circle and Tangents – Revision Quiz

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About this quiz

This GCSE Maths: Equation of a Circle and Tangents – Revision Quiz quiz contains 10 multiple choice questions designed to help you revise and test your GCSE Mathematics knowledge. Select an answer for each question and click “Submit Answer” to see instant feedback. Take your time and try to score as high as possible!

Description

Work with equations of circles centred at the origin and find tangent equations. Higher tier GCSE content.

Progress0 / 10 answered
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Question 1 of 10

The equation of a circle centred at the origin with radius 5 is:
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Question 2 of 10

Does the point (3, 4) lie on the circle x² + y² = 25?
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Question 3 of 10

What is the radius of the circle x² + y² = 49?
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Question 4 of 10

The equation of a circle with centre (3, 2) and radius 4 is:
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Question 5 of 10

A tangent to a circle at point P is perpendicular to:
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Question 6 of 10

The point (6, 8) lies on a circle centred at the origin. What is the radius?
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Question 7 of 10

The gradient of the radius from (0,0) to (3,4) is 4/3. The gradient of the tangent at (3,4) is:
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Question 8 of 10

Does the point (1, 5) lie inside, on, or outside x² + y² = 36?
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Question 9 of 10

Find the equation of the tangent to x² + y² = 25 at the point (3, 4).
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Question 10 of 10

A circle has equation (x−1)² + (y+3)² = 9. Its centre and radius are: