Which point lies on the circle centered at the origin with radius 5?

The point on the circle centered at the origin with a radius of 5 units is (2 , √21).

Which of the following is equation of a circle centered at origin and radius 1?

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

Which equation of the circle has its center at the origin?

The equation of a circle, centered at the origin, is x2+y2=r2, where r is the radius and (x, y) is any point on the circle.

What is the equation of a circle with center 0 0?

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 an equation of a circle whose center is at 2?

Radius, r = 3 units. We have to write the equation of the circle. Therefore, the equation of the circle is (x – 2)2 + (y – 1)2 = 9.

What is the distance in a circle?

circumference
The distance around the boundary of a circle is called the circumference. The distance across a circle through the centre is called the diameter. The distance from the centre of a circle to any point on the boundary is called the radius. The radius is half of the diameter; 2r=d 2 r = d .

How do you find the center and radius of two points?

A common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.

What is the radius of a circle if the centre is not?

Equation of a Circle When the Centre is not an Origin Let C(h, k) be the centre of the circle and P(x, y) be any point on the circle. Therefore, the radius of a circle is CP. By using distance formula,

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

The equation of circle with (h,k) center and r radius is given by: (x-h) 2 + (y-k) 2 = r 2. Thus, if we know the coordinates of the center of the circle and its radius as well, we can easily find its equation. Example: Say point (1,2) is the center of the circle and radius is equal to 4

How to find the coordinates of a circle centered at the origin?

From the above we can find the coordinates of any point on the circle if we know the radius and the subtended angle. So in general we can say that a circle centered at the origin, with radius r, is the locus of all points that satisfy the equations It also follows that any point not on the circle does not satisfy this pair of equations.

What is the equation of circle with (H) K and (r) radius?

A circle is a closed curve that is drawn from the fixed point called the centre, in which all the points on the curve are having the same distance from the centre point of the centre. The equation of circle with (h,k) center and r radius is given by: (x-h) 2 + (y-k) 2 = r 2