# what is the equation for a circle centered 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.

## What is the equation for the circle with center 2 and r 3?

The standard form of the equation of a circle is. where (a ,b) are the coordinates of the centre and r, the radius. Substitute these values into the standard equation. ⇒(x+2)2+(y+3)2=9 is the circle’s equation.

## What is the equation of a circle if the center is at the origin and the radius is 6?

So, if the center is (0,0) and the radius is 6, an equation of the circle is: (x-0)2 + (y-0)2 = 62.

x2+y2=4.

## How do you show that an equation represents a circle?

Simple. Take (positive) sqrt on both sides, then equation says distance between all points (x,y) from a fixed point (h,k) is r. This clearly indicates figure is a circle.

## What is the equation of circle of radius 5 and center 2 1 )?

Equation for the circle with center at (2,-1) with radius 5 is, (x-2) ^2 + (y+1)^2 = 25.

x2+y2=8.

## What is the equation of a circle with center 3/5 and radius 4?

Explanation: A general circle with centre (a,b) and radius r has equation (x−a)2+(y−b)2=r2 .

## What is the equation of a circle with a center located at for and a radius of 9?

So in this case since the centre is the origin, it implies that a=b=0 , and the radius r=9⇒r2=92=81 . Thus the equation reduces to x2+y2=81 .

## What is the general form of the equation of a circle with center at a B and radius of length?

The general equation for a circle, centered at (a,b) with radius r , is the set of all points (x,y) such that (x−a)2+(y−b)2=r2 ( x − a ) 2 + ( y − b ) 2 = r 2 . Pi (π ) is the ratio of a circle’s circumference to its diameter.

## What is the general form of the equation of a circle with its center at 0 0?

The general equation of a circle is (x – a)^2 + (y – b)^2 = r^2, where the center is at (a , b) and the radius is r. Now we have the center of the circle at (0,0). It passes through the point (3,4).

## What is the equation of the circle whose center is in the origin and has a diameter of 12?

What is the equation of the circle whose center is in the origin and has a diameter of 12? x² + y² = 36 is the answer!

## 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.

## What is the equation of a circle with center (- 2 3 and radius 2?

(x−h)2+(y−k)2=r2 . Accordingly, the reqd.

## What is the equation of a circle with center (- 2 3 and radius 5?

(x−2)2+(y+3)2=25 is the equation of the circle.

## Which equation represents a circle with a center at (- 4 9?

Summary: The equation which represents a circle with a center at (-4, 9) and a diameter of 10 units is (x + 4)2 + (y – 9)2 = 25.

## What is the equation of a circle with center at HK and a radius of our units?

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 radius of 4 and center 0 8?

Q. In the equation (x+2)2+(y-3)2=4, the radius of the circle is… Which equation has a center (0, 0) and a radius of 3? Q.

## How do you write the equation of a circle if the center is not at 0 0?

In this lesson, you learned the equation of a circle that is centered somewhere other than the origin is (x−h)2+(y−k)2=r2, where (h,k)is the center.

## How do you determine whether an equation represents a point a circle or a circle that doesn’t exist?

If g2+f2−c=0, then it’s a point circle. If g2+f2−c>0, then it’s a real circle. If g2+f2−c

## Why is the equation of a circle important?

The equation of a circle is a way to express the definition of a circle on the coordinate plane. If the center of the circle is at the origin of the coordinate plane, the equation is where r is the radius. … Using the Completing the Square technique converts the equation to an easier form.

## How can you determine if the center of the given equation of a circle is at the origin or at h k )?

The center is at the origin. Where r is the radius and (h,k) is center. If either -h or -k is missing, then its value must be 0. Thus, if both are missing the circle must be centered at the origin, (0,0).

## Equation of a circle centered at the origin

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