How do you find the center of a circle with an equation?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
What is the general equation of circle?
The standard equation of a circle with center at ( a , b ) (a,b) (a,b) and radius r r r is ( x − a ) 2 + ( y − b ) 2 (x-a)^2+(y-b)^2 (x−a)2+(y−b)2= r 2 r^2 r2. If we have a point O = ( a , b ) O=(a,b) O=(a,b) in the plane and a radius r r r, then we can construct a unique circle.
How do I calculate the area of a circle?
The area of a circle is pi times the radius squared (A = π r²).
What is the center of the circle?
The center of a circle is the point equidistant from the points on the edge. Similarly the center of a sphere is the point equidistant from the points on the surface, and the center of a line segment is the midpoint of the two ends.