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If the length of chord is 8. The radius must be joining both end of the Chord and forming a triangle where the two opposite radius will give angles 45, 45, and thus angle at the centre becomes 90. This makes this a 1:1:Root 2 triangle and hence Radius 4 root 2.
Given: In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. Asked: What is the maximum possible value of the radius of C ?
The is no finite maximum value of radius C since these 2 point (4,0) & (-4,0) can form an arc of a infinitely large circle C.
If the length of chord is 8. The radius must be joining both end of the Chord and forming a triangle where the two opposite radius will give angles 45, 45, and thus angle at the centre becomes 90. This makes this a 1:1:Root 2 triangle and hence Radius 4 root 2.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.