## How do you find the center and radius of a circle?

In order to find the center and radius, we need to change the equation of the circle into standard form, ( x − h ) 2 + ( y − k ) 2 = r 2 (x-h)^2+(y-k)^2=r^2 (x−h)2​+(y−k)2​=r2​, where h and k are the coordinates of the center and r is the radius.

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 formula for equation of a circle?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

### How do you find the center of a circle from an equation?

From the standard equation of a circle (x−a)2+(y−b)2=r2, the center is the point (a,b) and the radius is r.

How do you find the coordinates of the center of a circle?

Explanation: 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 using coordinates?

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.

## What is the equation for finding diameter?

Formula. The formula to find the diameter states the relationship between the diameter and the radius. The diameter is made up of two segments that are each a radius. Therefore, the formula is: Diameter = 2 * the measurement of the radius. You can abbreviate this formula as d=2r.

How do you find the standard equation of a circle?

The standard equation of a circle is a way to describe all points lying on a circle with just one formula: (x – A)² + (y – B)² = r². (x, y) are the coordinates of any point lying on the circumference of the circle.

What is the formula for finding the diameter of a circle?

If you know the area of the circle, divide the result by π and find its square root to get the radius; then multiply by 2 to get the diameter. This goes back to manipulating the formula for finding the area of a circle, A = πr 2, to get the diameter. You can transform this into r = √(A/π) cm.

### What is the equation for the radius of a circle?

This gives us the radius of the circle. Using the center point and the radius, you can find the equation of the circle using the general circle formula (x-h)* (x-h) + (y-k)* (y-k) = r*r, where (h,k) is the center of your circle and r is the radius.