What is the radius of a circle circumscribed about a rectangle with a length of 8 centimeters and a width of 6 centimeters?

If we think about it, the touching parts of the rectangle and circle are the corners

the distance between opposite corners is the diameter of the circle

the radius would be 1/2 diameter

so we just use the pythagorean theorem to find the legnth of the diagonal and thus the diameter then halve that to get radtius

a^2+b^2=c^2

c=hypotonuse

a and b are legs

8^2+6^2=c^2

64+36=c^2

100=c^2

10=c

10=diameter

10/2=5=radis

5 centimeters