11. Circles

11.01 Radians, arc length, and sector area

11.02 Lines tangent to a circle

11.03 Chords and angles

11.04 Inscribed angles and polygons

11.05 Angles from intersecting chords, secants, and tangents

11.06 Lengths in intersecting chords, secants, and tangents

11.07 Circles in the coordinate plane

United States of America

Grades 9-12

11.07 Circles in the coordinate plane

Adaptive

Worksheet

Interactive practice questions

Consider the graph of the circle shown below.

Loading Graph...

Complete the statement.

Every point on the circle is exactly $\editable{}$ units away from the point

$\left(\editable{},\editable{}\right)$(,)

Easy

< 1min

Consider the circle in the graph.

Easy

< 1min

State the equation of the circle.

Easy

1min

A circle has its center at ($3$3,$3$3) and a radius of $6$ units.

Easy

1min

Outcomes

G.GPE.A.1

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.

G.GPE.B.4

Use coordinates to prove simple geometric theorems algebraically.

G.MG.A.1

Use geometric shapes, their measures, and their properties to describe objects.

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