50.2k views
9 votes
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

1 Answer

11 votes

Answer:

The equation of a circle will be:

  • (x+6)² + (y - 2)² = 25

Explanation:

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

  • Center C(−6, 2)
  • Tangent to the y-axis

We know that the equation of a circle is

(x - h)² + (y - k)² = r²

here:

  • (h, k) is the center point
  • r is the radius

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,

  • radius r = 6

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:

  • (x+6)² + (y - 2)² = 25
User Prosseek
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories