yuki430p7szcq yuki430p7szcq
  • 22-07-2018
  • Mathematics
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Please help with this problem

Please help with this problem class=

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mathstudent55
mathstudent55 mathstudent55
  • 22-07-2018

In this case the chords are congruent.


x = 7 + 7 = 14

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smmwaite
smmwaite smmwaite
  • 23-07-2018

Answer





Explanation

Inside the circle there is a square of sides 9 units.

The diagonal of this square is the radius of the circle and can be found using pythagorous theorem

c²=a²+b²

c = √(9²+9²)

= √(81+81)

= √162

= 12.7

Now we can use the properties of circle with two chords intersecting inside the circle.

12.7+9=21.7

(12.7×2)-21.7 = 25.4-21.7

= 3.7


3.7×21.7 = x × x

y² = 80.29

y =√80.29

= 8.96


x = 2y

= 8.96×2

= 17.9

Answer Link

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