abdul_shabeer
A circle touches two adjacent sides of a square and divide each of the other two sides into 2cm and 23cm. Find the radius of the circle.
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abdul_shabeer
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I found this question interesting, I wanted to share it.
abdul_shabeer
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I know the answer, i just wanted others to try it
jimmyrep
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|dw:1330441895184:dw|
jimmyrep
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i cant think how to do this at the moment!!
abdul_shabeer
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A clue - Pythagoras theorem
jimmyrep
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hhmmm - no - but is the angle at center of circle from the tangents = 90 - if my memory is correct?
abdul_shabeer
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I didn't understand
jimmyrep
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- not sure i do either - lol - my brains not working too well today
abdul_shabeer
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I solved this question..
jimmyrep
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well done - must be my age!! give me a little longer
jimmyrep
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its too long to type here but a got an answer after several application of pythagoras
i got radius = 18.1 cm
abdul_shabeer
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No, radius is 17cm
FoolForMath
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#1 "A circle touches two adjacent sides of a square" Does this imply tangents?
abdul_shabeer
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Yes
abdul_shabeer
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Diagram of jimmyrep is right
FoolForMath
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Do you know the right answer?
abdul_shabeer
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yes
FoolForMath
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Tell us how to solve this.
abdul_shabeer
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Ok
abdul_shabeer
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|dw:1330512768123:dw|
Then Pythagoras theorem
FoolForMath
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Nice. :)
abdul_shabeer
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Thanks
jimmyrep
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lol - its so easy that way - i did it in a much more complicated way which i thought would work. maybe i made an error in the calculation.
nicely done abdul