Multiple choice general knowledge math & puzzles

The two legs of a right triangle measure 6 and 8 inches respectively. What is the area of the circle that contains all 3 vertices of the triangle?

  1. 24Pi

  2. 25Pi

  3. 36Pi

  4. 64Pi

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle, the circle containing all vertices is the circumcircle, and its diameter is the hypotenuse. Using the Pythagorean theorem (6^2 + 8^2 = 10^2), the hypotenuse is 10. The radius is 5, so the area is Pi * 5^2 = 25Pi.