Final answer:
The standard equation of a circle can be found by knowing its center and radius. The circumference, area, and diameter of a circle can be calculated using specific formulas.
Step-by-step explanation:
Center and Radius of a Circle:
To find the equation of a circle, we need its center and radius.
The standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
Circumference of a Circle:
The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle.
Area of a Circle
The area of a circle can be found using the formula A = πr^2, where A represents the area and r represents the radius of the circle.
Diameter of a Circle:
The diameter of a circle is the distance across the circle passing through the center.
It can be found using the formula d = 2r, where d represents the diameter and r represents the radius of the circle.