To find the center of a circle given two different diameters, we can use the fact that the center of a circle is the midpoint of its diameter.
How to find the center of the circle?
To find the center of a circle given two different diameters, we can use the fact that the center of a circle is the midpoint of its diameter.
Therefore, we can find the midpoint of each diameter using the midpoint formula, which states that the midpoint of two points (x₁, y₁) and (x₂, y₂) is
![[((x_(1) + x_(2)) )/(2), ((y_(1) + y_(2)) )/(2)]](https://img.qammunity.org/2022/formulas/mathematics/high-school/fmc272ob2njspiewukb0tbo3idtkvw79u8.png)
Once we have the midpoints of the two diameters, we can draw a line connecting them, which will pass through the center of the circle. The point where the two lines intersect is the center of the circle