Table of Contents
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.
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 get the length of a radius if the length of the diameter is given?
Well, the radius is equal to 1/2 the diameter. So this whole distance right here is 10 over pi meters. If we just 1/2 of that, if we just want the radius, we just multiply it times 1/2. So you have 1/2 times 10 over pi, which is equal to 1/2 times 10, or you just divide the numerator and the denominator by 2.
What does tangent mean in math?
A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency.
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 does tangent to the x-axis mean?
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).
What is the radius of the circle above the x axis?
Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2: (x −4)2 + (y −2)2 = 22
How do you find the distance from the center of a circle?
Understand that the contact point with the x-axis gives a vertical line up to the center of the circle, of which the distance is equal to the radius. 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).
Why does the radius of a circle have to be 2?
Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2: