SOLUTION: how do you find the center-radius form of the equation of a circle with center (4,-7) and tangent to the y-axis?
Algebra.Com
Question 184089: how do you find the center-radius form of the equation of a circle with center (4,-7) and tangent to the y-axis?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The equation of a circle with center at (h,k) and radius r is:
^2 + (y - k)^2 = r^2)
You are given the center, (4,-7), and that the circle is tangent to the y-axis. That means the radius is the distance from the y-axis to the center, or simply the value of the x-coordinate of the center, namely 4. Substituting:
^2 + (y + 7)^2 = 16)
T is the point of tangency.
John
RELATED QUESTIONS
Find the center-radius form of the equation of a circle with the center (4,-1) and... (answered by Alan3354)
find the center-radius form of the equation of a circle with center (4,8) and tangent to... (answered by Gogonati)
find the center radius form of the equation of a circle with the center(2,8) and tangent... (answered by rapaljer)
Find the standard form of the equation for the circle with the following properties.... (answered by greenestamps,ikleyn)
Find the equation of the circle
Center C(4, -1), tangent to the... (answered by robertb)
what is the equation of a circle tangent to the y-axis with center (-7,8) in standard... (answered by venugopalramana)
Find the equation of the circle with center in the first quadrant, with radius 2 and... (answered by Theo,josmiceli)
What is the equation for a circle tangent to the y-axis with center of... (answered by Alan3354)
The circle is tangent to y-axis, and the center is at (5, 3). Find the equation of a... (answered by dkppathak)