A circular mirror is surrounded by a square metal frame. The radius of the mirror is 7x. The side length of the metal frame is 21x. What is the area OSs the metal frame?

Respuesta :

Answer:

The area of the metal frame will be 1232x².

Step-by-step explanation:

The radius is 7x of the circular mirror is.

So, the area of the mirror will be = π(7x)² = [tex]\frac{22}{7} \times 49x^{2} = 154x^{2}[/tex].

Now, the radius up to the outside of the frame of the mirror id 21x.

So, the area of the mirror with the frame will be = π(21x)² = [tex]\frac{22}{7} \times 441x^{2} = 1386x^{2}[/tex].

Therefore, the area of the metal frame will be = (1386x² - 154x²) = 1232x². (Answer)