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8.6 Equations of Circles

Last updated over 4 years ago

10 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Notes for a lesson on Beginning Equations of Circles

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Now let's work backwards and go from center and radius to an equation or from the graph to the equation.

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1.

The standard form of the equation of a circle in the coordinate plane is given as:

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2.

where is the and is the .

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3.

Graph the circle and type the center and radius in the Show Your Work box.

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4.

Graph the circle and type the center and radius in the Show Your Work box.

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5.

Identify each part of the circle given its equations.

Center:

Radius:

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6.

Identify each part of the circle given its equations.

Center:

Radius:

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7.

Given the center and radius or diameter, write the equation in standard form.
Center: (5,3)
Radius: 2

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8.

Given the center and radius or diameter, write the equation in standard form.
Center: (-1,7)
Radius: 14

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9.

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10.