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.

What is the equation of the circle in standard form of a circle whose center is at 0 0 and a radius of 4 units?

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.

What is the equation of a circle whose center is at the origin and the radius is 8 cm?

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).

HOW TO FIND THE EQUATION OF A CIRCLE WHOSE CENTER IS AT THE ORIGIN | #SirZ #EquationOfCircle

The Equation of a Circle Centered at the Origin

Equation of a circle centered at the origin

Equation of a circle centered at the origin

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