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2 years ago

Write the standard form of the equation of the circle with the given characteristics.

Mathematics

1 answer:

SOVA2 [1]2 years ago

7 0

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

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Step-by-step explanation:

Proportion states that the two ratios or fraction are equal

As per the given condition:

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Now,

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By definition of proportion :

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3 years ago

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2 years ago

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

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