A circular mirror is surrounded by a square metal frame. The radius of the
mirror is 4x. The side length of the metal frame is 16x. What is the area of the
metal frame?

Respuesta :

Answer: [tex]= 240x^2[/tex]

Step-by-step explanation:

Area of the entire frame = [tex](16x)^2 = 256x^2[/tex]

Area of the mirror = area of a circle = [tex]\pi r^2[/tex]

= [tex]\pi(4x)^2[/tex]

Area of the metal frame surrounding the mirror = square area - circle area

[tex]= (16x)^2-(4x)^2[/tex]

[tex]= 240x^2[/tex]