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Mathematics 6 Online
OpenStudy (song_of_the_sole):

help please :)

OpenStudy (song_of_the_sole):

a circle with radius x is shown below. The diagram is not drawn to scale |dw:1464742499615:dw| what is the value of x?

OpenStudy (song_of_the_sole):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

all radii are the same so we can draw this in |dw:1464742629986:dw|

jimthompson5910 (jim_thompson5910):

the 28 gets cut in half since the radius is perpendicular to the chord 28/2 = 14 |dw:1464742663274:dw|

jimthompson5910 (jim_thompson5910):

pull out just the triangle |dw:1464742696823:dw|

jimthompson5910 (jim_thompson5910):

do you know what to do next?

OpenStudy (song_of_the_sole):

i cant seem to remember what to do next

jimthompson5910 (jim_thompson5910):

have you learned the pythagorean theorem?

OpenStudy (song_of_the_sole):

a^2+b^2=c^2

jimthompson5910 (jim_thompson5910):

yes, what are 'a' and 'b' equal to in this case?

OpenStudy (song_of_the_sole):

8^2+x^2=28^2 am i right

jimthompson5910 (jim_thompson5910):

look at this triangle |dw:1464743124659:dw|

jimthompson5910 (jim_thompson5910):

'a' and 'b' are the legs 'c' is always the longest side (longest side always opposite the 90 degree angle)

OpenStudy (song_of_the_sole):

oh so 8^2+14^2=x^2

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

what is x equal to?

OpenStudy (song_of_the_sole):

64+196=x^2

jimthompson5910 (jim_thompson5910):

keep going

OpenStudy (song_of_the_sole):

wait what do i do next again

jimthompson5910 (jim_thompson5910):

what is 64+196 equal to?

OpenStudy (song_of_the_sole):

260

jimthompson5910 (jim_thompson5910):

so x^2 = 260 how do we isolate x? what is the opposite of squaring a number?

OpenStudy (song_of_the_sole):

finding the square root?

jimthompson5910 (jim_thompson5910):

yes, take the square root of both sides

OpenStudy (song_of_the_sole):

so square foot of 260

jimthompson5910 (jim_thompson5910):

which is equal to what?

OpenStudy (song_of_the_sole):

16.1

jimthompson5910 (jim_thompson5910):

16.124515496597 which rounds to 16.1 yes

OpenStudy (song_of_the_sole):

so 16.1 is the answer

OpenStudy (song_of_the_sole):

thank you so so much :)

jimthompson5910 (jim_thompson5910):

yes approximately

OpenStudy (song_of_the_sole):

i have 2 more questions if you dont mind helping :)

OpenStudy (song_of_the_sole):

@jim_thompson5910

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