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Hello.
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So we are given that we have a pizza which is cut into eight equal pieces and the area of each of those pieces is 88 centimeters squared.
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So here i have a kind of a rough sketch of a pizza.
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So assume that all of these pieces here are equal.
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And then we have that the area of each of those is 88 centimeters squared.
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So each one of these pieces of pizza is 88 centimeters squared.
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Now we know that the area is equal to, while the area of a sector is equal to one half times r squared times theta where theta is in radiance.
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So therefore we have that 88, right, the area here, 88 is equal to one half r squared times theta.
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What is theta? what's pi over four, right? because all the way around our circle is two pi radians.
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So two pi divided by eight is, well, pi over four.
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Each one of these angles here is going to be pi over four.
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So our theta is pi over four.
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And, well, we're just solving for r to find our radius and then times that by two to then find our diameter.
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So how can you find r? well, this is so 88, 88 is equal to 1 half r squares of pi over 4.
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Well, if we divide by one half or times 2, then we get that 88 times 2...