Question

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?

Answer 1

Answer:
`= 240x^2`

Explanation:

Area of the entire frame =
`(16x)^2 = 256x^2`

Area of the mirror = area of a circle =
`\pi r^2`

=
`\pi(4x)^2`

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

`= (16x)^2-(4x)^2`

`= 240x^2`