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Graphs of Circles

Equation of a circle WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Circles, quadratic graphs, simultaneous equations.
Learning Objective: By able to recognise the equation of a circle and sketch the graph

Equation of a circle WORKSHEET DESCRIPTION

This worksheet is designed to provide scaffolding for learners to aid in recognising and finding equations of circles.

Section A asks learners to select which equations from a list are circles and state the radius.

Section B gives images of circles centred at the origin and asks learners to write the equation of each circle.

Section C wants the equation for a circle through a given point, and section D asks learners to sketch a circle from their equations.

An extension question asks learners to estimate the solutions to simultaneous equations involving one of the circles from section D and a straight line.

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

Equation of a circle Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

This resource targets grades 6-7, making it suitable for higher-achieving GCSE students. The content builds on foundational knowledge of circles and quadratic graphs, so students should be comfortable with these concepts before attempting the equation work. It's particularly valuable for Year 10 and Year 11 pupils preparing for their higher tier GCSE examinations.