Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center C(−6, 2), tangent to the y-axis

The equation of a circle will be:

Step-by-step explanation:

We have to find the equation of the circle that satisfies the stated conditions.

We know that the equation of a circle is

(x - h)² + (y - k)² = r²

here:

Given that the circle is tangent to the y-axis, we just need to determine the distance between x = 0 and x = -6.

As the distance between x = 0 and x = -6 is 6. Thus, 6 will be the radius of the circle.

In other words,

Therefore, the equation of a circle is:

(x - h)² + (y - k)² = r²

(x - (-6))² + (y - 2)² = (5)²

(x+6)² + (y - 2)² = 25

Thus, the equation of a circle will be:

answer: 43/157

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