Write the standard equation of a circle with the given center and radius.The cen...

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09519510180 @09519510180

October 2022 1 1 Report

Write the standard equation of a circle with the given center and radius.The center is (-4, -1) and the radius is 3
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✏️CIRCLE EQUATION

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$\underline{\mathbb{PROBLEM:}}$

Write the standard equation of a circle with the given center and radius. The center is (-4, -1) and the radius is 3.

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$\underline{\mathbb{ANSWER:}}$

$\quad\Large\rm» \:\: \green{(x + 4)^{2} + (y + 1)^{2} = 9}$

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$\underline{\mathbb{SOLUTION:}}$

- The equation of the circle in standard form is written as:

$\rm (x - h)^{2} + (y - k)^{2} = {r}^{2}$

- Substitute the given to get the equation in standard form.

$\big[x - ( \text - 4)\big]^{2} + \big[y - ( \text - 1) \big]^{2} = {3}^{2}$

$(x + 4)^{2} + (y + 1)^{2} = 9$

$\therefore$ (x + 4)² + (y + 1)² = 9 is the standard form of the equation.

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Answers & Comments

Verified answer

✏️CIRCLE EQUATION

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