Question

Please help with this problem

Answer 1

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 2

In this case the chords are congruent.

x = 7 + 7 = 14