16Hit1600
Geometry and TrigonometryVery hardDiameter of a circle through three points

Geometry and Trigonometry practice question

In the xy-plane, a circle passes through the points (0, 0), (8, 0), and (0, 6). What is the length of the circle's diameter?

Answer: 10

The three points form a right triangle with the right angle at the origin, and a right angle inscribed in a circle subtends a diameter. The hypotenuse from (8, 0) to (0, 6) has length 10.

Common wrong answers

If you answered 5
5 is the radius.
If you answered 8
8 is one leg.
If you answered 14
14 adds the two legs.

More Geometry and Trigonometry questions

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