Problema Solution
a circular mirror is surrounded by a square metal frame. the radius of the mirror is 5x. the side length of the metal frame is 20x. what is the area of the metal frame
Answer provided by our tutors
the area of the metal frame A = the area of the square - the area of the circle (circular mirror)
the area of a square = a^2, where a is the side of the square
the area of the circle = r^2*pi, where r is the radius of the circle
r = 5x
a = 20x
A = a^2 - r^2*pi
A = 20^2*x^2 - 25*pi*x^2
A = x^2 (400 - 25*pi)
A = 378.14*x^2 approximately for pi = 3.14