# How do you write an equation with the center point and radius?

## How do you write an equation with the center point and radius?

1 Answer

- The equation of a circle with center (h,k) and radius r is: r2=(x−h)2+(y−k)2.
- We are told that the center of this circle is (2,4) , so. r2=(x−2)2+(y−4)2.
- The radius of the circle is 5 , which means the equation of the circle is: 25=(x−2)2+(y−4)2.

## How would you determine the equation of a circle given the radius and the center of the origin?

The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

**How do you write the equation of a circle given its radius if the center is at the origin?**

The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1.

### How do you write the equation of a circle given its radius and its center at the origin What about if the center is at H k )?

### What is the equation of the circle with center and a 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.

**How would you determine the equation of a circle given the radius and center at the origin 0 0 What about if the center is not at the origin?**

The diameter is equal to twice the measure of the radius. If the center of a circle is (0, 0), then the equation of the circle is of the form x^2+y^2=r^2, where r is the radius.

## How do you write the equation of a circle given its radius and it’s center at the origin What about if the center is at H k )?

The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1. The equation of a circle written in the form x2+y2+cx+dy+e=0.