Respuesta :

Yes, it is true the sum of the two smaller areas is equal to the area of the large circle.

Is it true that the (small area) + (medium area) = large area?

Remember that for a circle of radius R, the area is:

[tex]A = pi*R^2[/tex]

Where pi = 3.14

For the smallest circle, we have R = 3 in.

Then:

[tex]small \ area = 3.14*(3in)^2 = 28.26 in^2[/tex]

For the medium circle, R = 4in

[tex]medium \ area = 3.14*(4in)^2 = 50.24 in^2[/tex]

For the large circle, R = 5in

[tex]large \ area = 3.14*(5in)^2 = 78.5 in^2[/tex]

If we add the first two, we get:

28.26 + 50.24 = 78.5

So yes, it is true that the sum of the first two areas is equal to the area of the largest circle.

If you want to learn more about circles:

https://brainly.com/question/1559324

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