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?

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Answer 1 · 2018-05-21T09:15:48

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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