One diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36 pi cm^2. If the other diagonal which measures 8 cm meets the first diagonal at the right angles,find the area of the quadrilateral. Please help me :(
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OpenStudy (perl):
|dw:1414502740258:dw|
OpenStudy (anonymous):
what's next how can i find its area? :( please help me
OpenStudy (anonymous):
master @perl what's next? :)
OpenStudy (anonymous):
@perl
OpenStudy (perl):
you to MIT ?
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OpenStudy (anonymous):
mapua :)
OpenStudy (perl):
whats mapua?
OpenStudy (anonymous):
i mean can you guve me the solution for the problem @@perl ? :( =))
OpenStudy (perl):
sure, one sec
OpenStudy (perl):
If a quadrilateral has perpendicular diagonals, d1 and d2, then area=(d1 x d2)/2
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OpenStudy (anonymous):
thank youu in advance!!! you are an angel! haha =)))
OpenStudy (perl):
Pi * r^2 = 36*Pi
r^2 = 36
r = 6
now
diameter = 2*r
so
diameter = 2*6 = 12
OpenStudy (perl):
now use this theorem:
if a quadrilateral has perpendicular diagonals, d1 and d2, then area=(d1 x d2)/2
Area = ( 12 x 8 ) / 2 = 48
OpenStudy (perl):
so the answer is 48
OpenStudy (perl):
please check and tell me if that is correct
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OpenStudy (anonymous):
is that the actual image or illustration for the problem? @perl
OpenStudy (perl):
it is an example
OpenStudy (anonymous):
where did you get the d1x d2/2 ? master @perl ? :))