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Circle Equations and Tangents iGCSE REVISION WORKSHEET

Cambridge iGCSE (0580): E4.3, E3.4
Edexcel iGCSE (4MA1): 3.15, 2.15
Number of Questions: 5
Estimated time to complete: 15-30 minutes

About This Worksheet

This iGCSE revision worksheet covers Circle Equations and Tangents, aligned to Cambridge iGCSE (0580) syllabus codes E4.3, E3.4 and Edexcel iGCSE (4MA1) codes 3.15, 2.15. Answers and worked solutions are included.

This set of questions will have learners draw circles from given equations, find equations of tangents to circles, and solve problems involving circles and tangents.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

iGCSE Syllabus Alignment

Cambridge iGCSE Maths (0580)

E4.3Extended

Recognise rotational and line symmetry. Properties of triangles, quadrilaterals and circles directly related to their symmetries. Properties of a tangent to a circle

Geometry
E3.4Extended

Find the gradient of a parallel or perpendicular line. Determine the equation of a line perpendicular to a given line through a given point

Coordinate geometry

Edexcel iGCSE Maths (4MA1)

3.15Higher

Understand and use circle theorems: angle in a semicircle is 90°; angle at centre is twice angle at circumference; angles in the same segment are equal; opposite angles of a cyclic quadrilateral sum to 180°; alternate segment theorem; tangent to a circle is perpendicular to the radius

Geometry
2.15Higher

Find the equation of a line through two given points or through one point with a given gradient. Understand that parallel lines have the same gradient. Understand that the gradients of perpendicular lines are negative reciprocals. Find the equation of a line perpendicular to a given line through a given point

Algebra

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