a chord of a circle divides the circle into two parts such that the squares inscribed in the two parts have the areas 16 and 144 square units. The radius of the circle, is?

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1 Answers

Ray Dart Profile
Ray Dart answered

I stole most of this from the web.

From Pythagoras:

AE^2 + DE^2 = r^2

r^2 = (x+4)^2 ..............................(1)

r^2 = (12-x)^2+36

therefore

(x+4)^2 = (12-x)^2+36

simplify and calculate

x= 5

therefore

r = sqrt(9^2 + 4)        (from (1))

= sqrt(85)

Cool solution huh?

7 People thanked the writer.
Daniel Dey
Daniel Dey commented
Ya really cool !!! Thankyou so much sir, you were very helpful.
John McCann
John McCann commented
Here Ray.

http://education.blurtit.com/4503504/patricia-is-trying-to-solve-the-following-equation-by-completing-the-square-25x220x-10


I feel much too lazy to do this completing the square with a coefficient on the squared variable.
Ray Dart
Ray Dart commented
Completing the square - I remember that...... :)

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