#geometry circle

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civic shuttle
civic shuttle
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@short heart help

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# civic shuttle <@985005820708278296> help

draw lines AO, CO, OB, and OD, then:
AO = CO = OB = OD = r
AE = EB = CF = FD = sqrt(r² - 3²)
AB = AE + EB = 2 sqrt(r² - 9)
CD = CF + FD = 2 sqrt(r² - 9)
hence AB = CD

civic shuttle
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What is 2nd step

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civic shuttle
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AE is radius?

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I mean 3rd step

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That sqrt(r^2 - 3^2)

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civic shuttle
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AE = EB = CF = FD = sqrt(r² - 3²)

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This

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civic shuttle
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But idk

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How

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It became so

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# civic shuttle But idk

triangle AEO is a right-angled triangle, with AO = r and OE = 3, so:
AE² + 3² = r²
AE² = r² - 3²
AE = sqrt(r² - 3²)

civic shuttle
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Oh

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3rd step

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How it came

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Nvm

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AB = AE + EB = how this = 2 sqrt(r² - 9)