Question

Circle M is circumscribed about right triangle ABC with legs 6 meters and 8 meters.
What is the exact circumference of ⊙M

Answer 1

ABC is a right triangle, so AC has length given by

$AC^2=(6\,\mathrm m)^2+(8\,\mathrm m)^2\implies AC=\sqrt{100\,\mathrm m^2}=10\,\mathrm m$

Then the circumference of circle M is $10\pi\,\mathrm m$.