What will be the area of the shaded part ?

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Answer:

34.785 units²

Step-by-step explanation:

The area of each triangular section of the hexagon is ...

... A = (1/2)sin(60°)·8²

There are 6 such sections, so their total area (the area of the hexagon) is ...

... 6A = 6·(1/2)·sin(60°)·8² = 3sin(60°)·8² . . . . . hexagon area

The area of the circumscribing circle is ...

... A = πr² = π·8²

The shaded area is the difference between the area of the circle and the area of the hexagon:

... shaded area = π·8² -3sin(60°)·8² = 64(π -3sin(60°))

... shaded area ≈ 34.785 units²

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Read 2 more answers

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kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

$f(x)=\frac{e^7^x+\sqrt{3}}{2}$