contestada

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

Respuesta :

apologiabiology
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

Otras preguntas