What is the circumference of a circle circumscribed around a rectangle with sides 10 cm and 24 cm?
Accepted Solution
A:
A rectangle can be split up into 2 right triangles. The hypotenuse of the right triangles is also the diagonal of the rectangle. The diagonal is a diameter of the circle you want. a^2 + b^2 = c^2 a = 10 b = 24 c = ???
10^2 + 24^2 = b^2 b^2 = 100 + 576 c^2 = 676 c = sqrt(676) c = 26 The other (-) root is meaningless. c = diameter of the circle r = d/2 = 26/2 = 13 The radius of the circle is 13 cm