luisz
If the area of a circle whose diameter is pi, is written
as a times pi to the b power, what is the value of
ab?
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luisz
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no more drawings this time
luisz
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I got pi cubed/4
Algebraic!
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yep
luisz
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so how could I rewrite this?
Algebraic!
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rewrite what?
luisz
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pi cubed/4
luisz
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I need to rewrite as a times pi to the b power
micahwood50
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So, the area is π³/4. Rewrite it as π³/4 = aπ^b. Find the a and b.
Mr.Math
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You know the area of a circle is \(\pi r^2\), where \(r\) is the radius of the circle. In this case we have \(r=\frac{\pi}{2}\). Thus the area, call it \(A\), is \(A=\pi(\frac{\pi}{2})^2=\frac{1}{4}\pi^3.\)
Now if we set this \(A=a\pi^b=\frac{1}{4}\pi^3.\) Then we have \(a=\frac{1}{4}\) and \(b=3\). So \(ab=\frac{3}{4}\).
luisz
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ok
micahwood50
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You asked me why a should be 1/4, not 4. It's because 4 is in denominator, so it is 1/4.
π³/4 = (1/4)π³