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Given the formula a equals pi r 2 find the area (8) of a circle with radius is 0.00 6 7 8 in

Given the formula a equals pi r 2 find the area (8) of a circle with radius is 0.00 6 7 8 in-example-1
User Jacob Ford
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1 Answer

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9 votes

To answer this question, we need to use scientific notation for the value of the radius as follows:


0.00678=0.00678\cdot(10^3)/(10^3)=6.78\cdot10^(-3)

Then, using the formula for the area of a circle, we have:


A_{\text{circle}}=\pi\cdot(6.78\cdot10^(-3))^2=\pi\cdot(6.78)^2\cdot(10^(-3))^2=\pi\cdot45.9684\cdot10^(-6)in^{}

Then, we have:


A_{\text{circle}}=\pi\cdot45.9684\cdot10^(-6)\cdot(10)/(10)=\pi\cdot4.59684\cdot10^(-6)\cdot10=4.59684\cdot10^(-5)\pi in^2

Therefore, the answer to this question is the first option: 4.59684 * 10^-5 pi square inches.

Given the formula a equals pi r 2 find the area (8) of a circle with radius is 0.00 6 7 8 in-example-1
User Manjeet Deswal
by
2.9k points