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.
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