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Novosadov [1.4K]
4 years ago
11

What is the ratio of the area of the larger circle to the area of the smaller circle

Mathematics
1 answer:
krek1111 [17]4 years ago
8 0

The formula of an area of a circle:

A=\pi r^2

We have R = 6mm and r = 5 mm.

Substitute:

A_1=\pi(6^2)=36\pi\ mmm^2\\\\A_2=\pi(5^2)=25\pi\ mm^2

The ratio:

\dfrac{A_1}{A_2}=\dfrac{36\pi}{25\pi}=\dfrac{36}{25}

<h3>Answer: 36 : 25</h3>
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Step-by-step explanation:

This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.

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A=s^2 where s is a side.

Since we are looking for the rate at which the area is changing, \frac{dA}{dt}, we need to take the derivative of area formula implicitly:

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3 years ago
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