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Answer: Hi, for the equation of a circle you first need to find the center; midpoint = ((x1 + x2)/2, (y1 + y2)/2) = (-3 + 7)/2, (2 + 4)/2) = (2, 3) Now that we have the center, we need the radius: r = √(x1 - x2)2 + (y1 - y2)2 Let's use (2,3) for (x1,y1) and (7,4) for (x2,y2) r = √(7-2)2 + (4-3)2 r = √25 + 1 r = √26 Now we can find the equation of circle with center (2,3) and radius √26 (x - 2)2 + (y - 3)2 = 26 Do you have endpoints of a diameter? And are you looking for an easy way to find the equation of a circle? If you are saying YES, then our equation of a circle with diameter endpoints calculator is a perfect fit for you. Go on and insert the diameter endpoints in the indicated fields. You will obtain circle equations in standard, general, and parametric form. Please read the following article to learn more about:
A circle is a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.
To find the equation of a circle with diameter endpoints, you can use the following steps:
d=(x2−x1)2+(y2−y1)2\qquad \scriptsize d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}d=(x2−x1)2+(y2−y1)2
h=(x2+x1)2k=(y2+y1)2\qquad\qquad \scriptsize \begin{align*} h=\frac{(x_2+x_1)}{2} \\ k=\frac{(y_2+y_1)}{2} \end{align*}h=2(x2+x1)k=2(y2+y1) By knowing the center coordinates: hhh,kkk, and radius rrr we can get the circle equation in standard form. It is given as: (x−h)2+(y−k)2=r2\qquad \scriptsize (x-h)^2 +(y-k)^2=r^2(x−h)2+(y−k)2=r2
The equation of a circle is (x-4)² + (y-6)² = 8. You can find this equation by using the following steps:
The midpoint is (1.5,0.5). To calculate the midpoint coordinates: sum the corresponding coordinates, and divide by 2. |