+0  
 
+3
595
10
avatar+839 

How do you solve this?

 Jul 9, 2014

Best Answer 

 #1
avatar+118609 
+21

The perpendicular from the centre of a circle to a chord, bisects the chord 

so

PR=10

Then using pythagoras' theorum

$$\\12^2=10^2+x^2\\\\
144=100+x^2\\\\
44=x^2\\\\
x=\sqrt{44}\\\\
x=\sqrt4 \times \sqrt{11}\\\\
x= 2\sqrt{11} \;\;units\\
x= 2\sqrt{11} \;\;units\\
x=6.6332496\;units\\
x=6.63 \;\mbox{units to 2 decimal places}$$

 

Thanks Alan.

 Jul 9, 2014
 #1
avatar+118609 
+21
Best Answer

The perpendicular from the centre of a circle to a chord, bisects the chord 

so

PR=10

Then using pythagoras' theorum

$$\\12^2=10^2+x^2\\\\
144=100+x^2\\\\
44=x^2\\\\
x=\sqrt{44}\\\\
x=\sqrt4 \times \sqrt{11}\\\\
x= 2\sqrt{11} \;\;units\\
x= 2\sqrt{11} \;\;units\\
x=6.6332496\;units\\
x=6.63 \;\mbox{units to 2 decimal places}$$

 

Thanks Alan.

Melody Jul 9, 2014
 #2
avatar+33616 
+18

Look carefully at the information you have in the diagram.  With O as the centre of the circle and a right-angle at R, then length PR is half of length PQ, so PR is 10.  This means you have a right-angled triangle with hypotenuse of length 12, one side of length 10 and one of length x.  From Pythagoras we know that:

x2 + 102 = 122.   Can you take it from there?

Ok, no need to - Melody's already done it!!  Apart from expressing the answer as a decimal rounded to two places.

 Jul 9, 2014
 #3
avatar+11912 
+11

You know Rose those first two joint lines on the top of the circle seemed to me as if they were someones mustaches when i saw them first!

 Jul 9, 2014
 #4
avatar+118609 
+3

Yes they do a bit Rosala.

 Jul 9, 2014
 #5
avatar+11912 
+6

they'd match lots if the lines might have been a lil more thicker!

 Jul 9, 2014
 #6
avatar+3502 
+3

If you know what regular show is then it looks like the guy named pops lol

 Jul 9, 2014
 #7
avatar+839 
+3

zegroes, that was so random.... hahaha

 Jul 9, 2014
 #8
avatar+3502 
+3

It wasnt random if you watched regular show you would know.

 Jul 9, 2014
 #9
avatar+839 
+3

Alrighty whatever you say 

 Jul 9, 2014
 #10
avatar+11912 
+6

Zegroes, im happy atleast theres anyone in this world from whom u can win!but take care peole r very clever though!

 Jul 9, 2014

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