How do you write an equation for a circle with center 0 0 and radius 2?

How do you write an equation for a circle with center 0 0 and radius 2?

The general equation of a circle is (x−h)2+(y−k)2=r2 , where the centre of the circle is (h,k) and the radius is r .

What is the equation of a circle with a center of 0 0 and a radius of 5?

The equation of a circle whose center is 0 and who radius is 5 is x^2 + y^2 = 25. This is the Pythagorean formula for a right triangle whose hypotenuse is 5.

What is the equation of circle whose center 0 0 and radius r?

On the right is a circle with centre (0, 0), radius r and (x, y) any point on the circle. Distance between (0,0) and (x, y) equals the radius, r. If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2.

What is the equation of the circle whose center is at 0 0 and whose radius is 4 meters long?

x2+y2=4.

How do you write the equation of a circle with the center and radius?

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.

Which is the equation of a circle with center 2?

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

What is the equation of a circle with a center at 0 0 and a radius of 3?

The equation of a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center and r is the radius. If the center is at (−3,0) and the endpoint of the radius is at (3,0) , then the length of the radius is the distance between the two points, which is 3−(−3)=6 .

What is the equation for circle with center O?

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”.

What is the equation of a circle with a center at the origin and a radius of 11?

The equation of a circle with center (h,k) and radius r is given by (x−h)2+(y−k)2=r2 . For a circle centered at the origin, this becomes the more familiar equation x2+y2=r2 .

What is the equation of a circle with center 2?

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.

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

1. x 2 + y 2 + 2 g x + 2 f y + c = 0 is used to work out the centre of the circle, and the radius.
2. ( x − a ) 2 + ( y − b ) 2 = r 2 is used to write the equation of the circle when you know the centre and the radius.

How to write the center radius equation for a circle?

Step 1: Write the center-radius equation for the circle. ( x − 0) 2 + ( y − 0) 2 = 8 2 Sub. Step 2: Determine the x-coordinate associated with a y-coordinate of -3. Substitute -3 in for y and solve for x. x 2 + ( − 3) 2 = 64 Sub.

Which is the fixed distance from the center of the circle?

The fixed distance from the center to any point on the circle is called the radius. 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.

Which is the general equation of a circle?

Equation of a Circle in General Form The general equation of any type of circle is represented by: x 2 + y 2 + 2 g x + 2 f y + c = 0 , for all values of g , f and c .

Which is true of the radius of a circle?

More technically, it is the point inside the circle’s edge, such that every point on the circle’s edge is the same distance from that point. Radius of a Circle: The radius of a circle is a line segment that connects the center of the circle to any point on the circle’s edge.