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Mathematics 17 Online
OpenStudy (anonymous):

circle question

OpenStudy (anonymous):

Four identical circles, each with radius of 110 units, are joined to make a set as shown.|dw:1351165621332:dw| should all be same size but yeah

OpenStudy (anonymous):

four such sets are used to make a design. A shaded circle is placed in centre so that it just touches the four inner circles as shown. |dw:1351165707159:dw|

OpenStudy (anonymous):

one sec i get pic

OpenStudy (anonymous):

OpenStudy (anonymous):

what is the radius of the shaded circle? to the nearest unit

hartnn (hartnn):

join the centres to form a quadrilateral and its diagonals

hartnn (hartnn):

which quadrilateral will it form ?

OpenStudy (anonymous):

um square??

hartnn (hartnn):

was that a guess? or u have good reason to tell its a square ?

OpenStudy (anonymous):

do u mean join centre of four circle around shaded circle ?

hartnn (hartnn):

no, all outer circles

OpenStudy (anonymous):

hm it forms parallelogram

hartnn (hartnn):

are all sides equal ?

OpenStudy (anonymous):

yes

hartnn (hartnn):

then its a rhombus, isn't it ?

hartnn (hartnn):

and what are the properties of diagonals of rhombus ?

OpenStudy (anonymous):

whats difference between rhombus and parallelogram?

OpenStudy (anonymous):

i mean square with 2 opposite sides but not right angle

hartnn (hartnn):

a parallelogram does not have all sides equal

OpenStudy (anonymous):

ah do u find length of diagonal and -4diameter

OpenStudy (anonymous):

yeah i meant that.. like twisted square

OpenStudy (anonymous):

im nto sure about properties of diagnal

hartnn (hartnn):

length of diag - 3dia or u can use pythagoras theorem

hartnn (hartnn):

for rhombus, diagonals are perpendicular bisectors of each other

OpenStudy (anonymous):

wait so how to find length of diagonal?

hartnn (hartnn):

i would use pythagoras theorem anyways , u have hypotenuse as 3diameter, can u see that ?

hartnn (hartnn):

and other 2 sides equal

OpenStudy (anonymous):

which part of the set are you finding? liek how are you cuting??

OpenStudy (anonymous):

oh i think i got it

hartnn (hartnn):

should i draw it ?

OpenStudy (anonymous):

|dw:1351167473128:dw| yeah?

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