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Equations of Circles WORKSHEET

Suitable for Grades: Geometry, IM 3
CCSS: HSG.GPE.A.1
CCSS Description: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

Equations of Circles WORKSHEET DESCRIPTION

This worksheet is designed to provide scaffolding for learners to aid recognizing 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 asks for the equation for a circle through a given point, and section D asks learners to sketch circle from their equations. An extension question asks learners to estimate the solutions to simultaneous equations involve one of the circles from section D and a straight line.

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

Frequently Asked Questions

This equations of circles worksheet is designed for students in Geometry and IM 3 and aligns with Common Core State Standards.