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Mathematics 16 Online
OpenStudy (anonymous):

Area of A circle

OpenStudy (anonymous):

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OpenStudy (anonymous):

the large cirlce has a radius of 6

OpenStudy (anonymous):

the small circles are congruent

OpenStudy (anonymous):

\[Area = \pi r^{2}\] just plug in the values

OpenStudy (anonymous):

@Soumyadeep can you help with this one to, its what is the area of a circle in which the longest possibale chord is 6in long

OpenStudy (anonymous):

This is the diameter, so radius will diameter/2

OpenStudy (anonymous):

@Soumyadeep so it wil be 3

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

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OpenStudy (anonymous):

@Soumyadeep is this the same thing?

OpenStudy (anonymous):

which are you want to compute?

OpenStudy (anonymous):

SHaded region the inside of that small triangle @Soumyadeep

OpenStudy (anonymous):

since its an equilateral triangle, the small triangle inside the big one will have sides each equal to x

OpenStudy (anonymous):

so its 2

OpenStudy (anonymous):

@Soumyadeep so its 2?

OpenStudy (anonymous):

@Soumyadeep how do you do this? also find the area of a square inscribed in a circle of radis x

OpenStudy (anonymous):

@Soumyadeep plz help this is my last question then i gtg to school

OpenStudy (anonymous):

the radius is x so diameter will be 2x now \[a^{2} + b^{2} = c^{2}\] a = b because the sides of a square are equal, so \[2a^{2} = (2x)^{2}\] \[a = \sqrt{\frac{ 4x^{2} }{ 2 }}\] and Area of a square = side x side

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