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=√(100\,\mathrm m^2)=10\,\mathrm m`

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