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How do you find the radius of a circle tangent to the x-axis?

How do you find the radius of a circle tangent to the x-axis?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

How do you find the radius of a circle given the center and tangent to the x-axis?

Starts here1:28Writing an equation of circle tangent to the x axis given the center –
YouTubeYouTubeStart of suggested clipEnd of suggested clip45 second suggested clipSince our R is our radius R squared is going to be 25. So my final equation which will be 25 okayMoreSince our R is our radius R squared is going to be 25. So my final equation which will be 25 okay there you go. That’s it for that one. So you cut it on the exponent.

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What is a tangent to the x-axis?

Tangent to the x-axis means: Touching the x-axis, so the distance from the center is the radius. Having the distance from it center is equal to the height (y).

How do you find the equation of a circle that is tangent to the y-axis?

Starts here3:23Find the equation of a circle given the center and line tangent to the
circleYouTubeStart of suggested clipEnd of suggested clip55 second suggested clipIf I say draw a line that’s tangent to the circle. This is a line tangent to the circle it touchesMoreIf I say draw a line that’s tangent to the circle. This is a line tangent to the circle it touches at exactly one point right. This would be a line that crosses the circle it touches that two points.

How do you find the radius of a circle given the center?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

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Where is Y axis and x-axis?

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin….

x-coordinate y-coordinate
2 4
3 6
4 8

What is center radius form?