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## Nick2019 one year ago Area of A circle

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1. Nick2019

|dw:1363617028530:dw|

2. Nick2019

the large cirlce has a radius of 6

3. Nick2019

the small circles are congruent

4. Soumyadeep

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

5. Nick2019

@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

6. Soumyadeep

This is the diameter, so radius will diameter/2

7. Nick2019

@Soumyadeep so it wil be 3

8. Soumyadeep

yes

9. Nick2019

|dw:1363617467462:dw|

10. Nick2019

@Soumyadeep is this the same thing?

11. Soumyadeep

which are you want to compute?

12. Nick2019

SHaded region the inside of that small triangle @Soumyadeep

13. Soumyadeep

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

14. Nick2019

so its 2

15. Nick2019

@Soumyadeep so its 2?

16. Nick2019

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

17. Nick2019

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

18. Soumyadeep

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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