If a square is insribed in a circle find the side of square if diameter of circle is 10 cm.
Plz solve this ..............
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Step-by-step explanation:
connect the OA , OB , OC , OD
OA =OB=OC=OD=10CM
AC=OA +OC=10+10=20
BD=OB+OD=10+10=20
Now areaof(ABCD)
=AC×BD×1/2
=10×10×1/2
=50
ONE SIDE OF (ABCD)= √50
=>5√2
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Answer:
the diagonal of a square is given by √2a a is the side of square remember all four sides of square are equal.
here diameter of circle (take AOC) is equal to diagonal of square AC
that's why 10=√2a
a( side of square) = 10/√2
a= 5√2
hey if you want to know proof that diagonal AC = √2 (side of square) then take triangle AOCD and apply Pythagoras theorem remember AD=DC=say a
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