The points (-3,2) and (-2,-2) lie on a circle whose center is on the x-axis. What is the radius of the circle?
+204 With on the circle do you mean on the circumference of the circle or inside the circle?
Just a guess: 0.5
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+14915 What is the radius of the circle?
HelloGuest!
The middle of the points (-3,2) and (-2, -2) is the point (-2.5,0). The vertical has a gradient of m = 1/4.
\(y=m(x-x_1)+y_1\\ y=0.25(x+2.5)+0\\ y=0.25x+0.625\ |\ \color{blue}x_c=0 \\ \color{blue}y_c=0.625\)
\(r^2=(2-0.625)^2+|-3\ |^2\\ r=\sqrt{10.891}\)
\(r=3.3\)
\(The\ radius\ of\ the\ circle\ is\ {\color{blue}3.3}\ . \)
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