Math II · G-GPE.1

Derive the equation of a circle from center/radius and complete the square to identify center/radius.

Derive the equation of a circle from center/radius and complete the square to identify center/radius.

Concept Geometry
Domain Expressing Geometric Properties with Equations
Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Write the equation of a circle from its center and radius

4 variants
Template 2

Read separate center and radius fields from circle standard form

4 variants
Template 3

Derive a circle equation from the distance formula

4 variants
Template 4

Complete the square to convert a circle equation to standard form

4 variants
Template 5

Complete the square and report center and radius separately

4 variants
Template 6

Classify a circle equation by the sign of radius squared

4 variants
Template 7

Write a circle equation from the endpoints of a diameter

4 variants
Template 8

Write a circle equation from its center and a point on the circle

4 variants
Template 9

Classify a point as on, inside, or outside a circle

4 variants
Template 10

Graph a circle from center, radius, and four exact anchors

4 variants
Template 11

Find a missing parameter in a circle equation

4 variants
Template 12

Interpret a contextual circle boundary and covered region

4 variants
Template 13

Compare two circles by records and spatial position

4 variants
Template 14

Complete a circle equation and classify a point consistently

4 variants