How do you find the equation of a circle with radius and point?

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.

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What is the formula to find the center of a circle?

Solution: The center of the circle equation is (x – h)2 + (y – k)2 = r2. The given values are: coordinates of the center (h, k) are (0, 0), and the radius (r) = 5 units.

How do you find the midpoint when given the radius?

You can find the radius of a circle from the coordinates of its diameter’s midpoint and the coordinates of a point on its circumference. Subtract the x-coordinate of the point on the circumference from the x-coordinate of the midpoint, and then square the difference.

How do you find the equation of a circle with center and point?

The equation of a circle with center (h,k) and radius r units is (x−h)2+(y−k)2=r2 .

What is the center of a circle with radius of 2 $?

Suppose we have a circle, with its center at the origin and a radius of $2$. It is then common sense that said circle will intersect the points $(0, 2)$ and $(2, 0)$. The center could also be at $(2, 2)$, and meet the other constraints.

How do you find the radius of a circle with 3 points?

With Three Points: given three points on the circle, we can find the center and radius of the circle by solving a system of three equations in three unknowns (a, b, and r). We can find the center and radius of a circle in some situations, given information about points on the circle.

What is the center of the circle in Figure 1?

Figure 1 is a circle with the center, radius, and diameter identified. The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.

What is the diameter of a circle?

A line segment from one point on the circle to another point on the circle that passes through the center is twice the radius in length. This line segment is called the diameter of the circle. A circle can be represented by two different forms of equations, the general form and the center-radius form.