Question

A circular mirror is surrounded by a square metal frame the radius of the mirror is 2X the side length of the metal frame is 6X what is the area of the metal frame

Answer 1

Answer:

4x^2(9−π)

Step-by-step explanation:

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Answer 2

Answer:

Area of the metal frame is $23.43x^2$.

Step-by-step explanation:

Given:

Radius of circular mirror = $2x$

Side length of the metal frame = $6x$

We need to find the area of the metal frame.

Solution:

First we will find the area of the whole thing.

area of the whole thing is in square shape we can say that;

area of the whole thing is equal to square of the length of the metal frame.

framing in equation form we get;

area of the whole thing = $(6x)^2 = 36x^2$

Now we will find the area of the circular mirror.

Since mirror is in circular form we will use area of the circle.

So area of circular mirror is equal to π times square of the radius.

framing in equation form we get;

area of the circular mirror = $\pi r^2 = \pi(2x)^2 = \pi 4x^2 = 12.57x^2$

Now to find the area of the metal frame surrounded my the mirror we will subtract area of the circular mirror from area of the whole thing.

framing in equation form we get;

area of the metal frame = $36x^2-12.57x^2 = 23.43x^2$

Hence Area of the metal frame is $23.43x^2$.