#geometry circle
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@short heart 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
What is 2nd step
they are all radius
Pythagoras theorem, cuz of right angles
yes Ik
triangle AEO is a right-angled triangle, with AO = r and OE = 3, so:
AE² + 3² = r²
AE² = r² - 3²
AE = sqrt(r² - 3²)