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The radius, R, of a larger circle is 555 centimeters. The radius, r,..

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The radius, R, of a larger circle is 555 centimeters. The radius, r,..  [#permalink]

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New post 06 Oct 2018, 11:57
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The radius, R, of a larger circle is 555 centimeters. The radius, r, of a smaller circle is 55 centimeters. Which of the following properly expresses, in square meters, the difference between the areas of the two circles? (Note: 1 meter = 100 centimeters)

A) 30.5 \(\pi\)

B) 305 \(\pi\)

C) 3050 \(\pi\)

D) 30,500 \(\pi\)

E) 305,000 \(\pi\)

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Re: The radius, R, of a larger circle is 555 centimeters. The radius, r,..  [#permalink]

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New post 06 Oct 2018, 12:46
By Using formula \(\pi(R^2 - r^2)\) ,We can find the difference in areas.

Put \(R=555\) and \(r = 55\) in above formula .Use identity \(a^2\) - \(b^2\) = \((a+b)(a-b\))

We will get \(305000\)\(\pi\)

Now this is in \(cm^2\).We need area in \(m^2\) .So we have to divide area by \(100\) twice as we have multiplication of \(cm*cm\)(\(cm^2\)) in units.

Answer : A

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Re: The radius, R, of a larger circle is 555 centimeters. The radius, r,.. &nbs [#permalink] 06 Oct 2018, 12:46
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