How do you find the radius of a circle with the Centre and a tangent?

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.

What is the center-radius form of a circle?

The center-radius form of the equation of a circle is: (x−h)2+(y−k)2=r2.

What is the equation of the circle with center O 2 1?

2 Answers By Expert Tutors If y=x+2 is tangent to the circle with center O(2,-1), the radius of the circle is equal to the distance between the center of the circle and the line y=x+2 or y-x-2=0. distance =5/√2. The circle has equation (x-x0)2+(y-y0)2 = d2 Plug in x0 y0 and d.

What is the radius and center?

The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.

How do you find the radius of the circle?

How to Find the Radius of a Circle?

1. When the diameter is known, the formula for the radius of a circle is: Radius = Diameter / 2.
2. When the circumference is known, the formula for the radius is: Radius = Circumference / 2π
3. When the area is known, the formula for the radius is: Radius = ⎷(Area of the circle / π)

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

Given: circle with center #(0, 1)# and #r = 2#. The standard equation for a circle is #(x – h)^2 + (y – k)^2 = r^#. where #”center” (h, k)# and #r = “radius”#.

Which circle is tangent to the x-axis and the Y-axis?

A circle with center (-2,1) is tangent to the y-axis. What is the radius, equation, and is the circle also tangent to the x-axis? It is tangent to the y-axis, therefore, the y-axis is perpendicular to the radius. A radius and the y-axis intersects at (0,1) and this point is 2 units away from the center. Have a nice day !!! from the Philippines..

What is the tangent of a circle in math?

Tangent to Circle, Center NOT the Origin A Tangent to a Circle is a straight line that touches the circle at only one point. A Normal line, is a straight line that is perpendicular to the tangent line, meaning at a right angle. As a consequence, the Normal line touches or passes through the center of the circle.

How do you find the equation of R in a circle?

A circle is tangent to the line 2 x – y + 1 = 0 at the point (2, 5) and the center is on the line x + y = 9. Find the equation of the circle. r is perpendicular to 2 x – y + 1 = 0. Thus, equation of r is. The center ( h, k) is the point of intersection of r and x + y = 9.