SOLUTION: A square OABC is drawn with vertices as shown. Find the equation of the circle with largest area that can be drawn inside the square.
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Question 1073399: A square OABC is drawn with vertices as shown. Find the equation of the circle with largest area that can be drawn inside the square.
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Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
HINT: Midpoint of the entire square
Another HINT: Midpoint of any of the sides
Middle of OB same as CA
(0,2)
and this is the center of the circle.
Middle of segment BA
-
-
The point (1,3) is on the circle.
Distance From Center to (1,3) gives the radius.
r, radius
EQUATION
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
The center of the circle is at the point (x,y) = (0,2).
The radius of the circle is .
The equation of this circle is
= 2.
Ignore the answer by "josgarithmetic", since it is nonsensical.
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