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A circular microchip with a radius of 2.5 centimeters is manufactured

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A circular microchip with a radius of 2.5 centimeters is manufactured  [#permalink]

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New post 02 Jul 2017, 10:23
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Question Stats:

79% (03:00) correct 21% (03:01) wrong based on 46 sessions

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A circular microchip with a radius of 2.5 centimeters is manufactured following a blueprint scaled such that a measurement of 1 centimeter on the blueprint corresponds to a measurement of 0.05 millimeters on the microchip. What is the area of the blueprint, in square centimeters? (1 centimeter = 10 millimeters)

A) 25000
B) 50000π
C) 250,000π
D) 100000π
E) 625000

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Re: A circular microchip with a radius of 2.5 centimeters is manufactured  [#permalink]

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New post 02 Jul 2017, 12:48
daboo343 wrote:
A circular microchip with a radius of 2.5 centimeters is manufactured following a blueprint scaled
such that a measurement of 1 centimeter on the blueprint corresponds to a measurement of 0.05
millimeters on the microchip. What is the area of the blueprint, in square centimeters? (1 centimeter = 10
millimeters)

A) 25000
B) 50000π
C) 250,000π
D) 100000π
E) 625000


The microchip is 2.5 cm which is equal 25 mm (2.5cm*10mm). The scale shows that every .05 mm of the microchip is equal to 1 cm of the blueprint. To find the radius of the blueprint (which is needed for the area) simply apply the scale to the microchip. The equation is .05 * x = 25 where x is the radius of the blueprint in cm. X = 500 and then all you need to do is apply the area formula for a circle (500 π)^2 = 250,000 * π^2 which is the answer choice C.
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Re: A circular microchip with a radius of 2.5 centimeters is manufactured   [#permalink] 02 Jul 2017, 12:48
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A circular microchip with a radius of 2.5 centimeters is manufactured

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