Question

How do you find the circumference and area of a circle that has a rectangle inscribed inside it with sides that are 9 by 12?

Answer 1

See below

Explanation:

If rectangle is inscribed inside, then his diagonals are diameters of circle. Applying Pithagorean theorem we have

`d^2=9^2+12^2=81+144=225`

`d=15`

Then radius is `r=d/2=7.5`

The circunference is `L=2pi7.5=15pi` length units

And Area `S=pi7.5^2=56.25pi` square units