How do you find the center and radius of a circle using an equation?

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”. This form of the equation is helpful, since you can easily find the center and the radius.

How do you find the radius of a circle with x 2 y 2?

x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

What are the coordinates of the center and length of the radius of the circle whose equation is?

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.

How do I find radius of a circle?

Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet.

What is the center and radius of a circle with the equation x 2 2 +( Y 8 2 16?

4
The radius of the circle whose equation is (x – 2)2 + (y – 8)2 = 16 is 4.

What is the center and radius of the equation of the circle x² y² 1?

Explanation: It’s already in standard form: (x−f)2+(y−g)2=r2 is the equation for a circle center (f,g) , radius r , with f=g=0 and r=1 .

What is the coordinate of the center of a unit circle?

A unit circle has a center at (0,0) and radius 1 . In a unit circle, the length of the intercepted arc is equal to the radian measure of the central angle 1. Let (x,y) be the endpoint on the unit circle of an arc of arc length s. The (x,y) coordinates of this point can be described as functions of the angle.

What is the length of the radius?

Explanation: The definition of radius of a circle is the length of the line segment from the center of a circle to a point on the circumference of the circle. So, the radius is half the length of the diameter.

Is center and Centre the same?

Center and centre have the same meaning. Center is the correct spelling in American English, while in British English centre is correct. Notice that center (and centre) can be a noun, adjective, or a verb.