Question

What is the value of N?

Answer 1

n = 6 is the answer.

Explanation:

We know that when two chords intersect each other in a circle then they bisect in a equal ratio.

Therefore we can the equation in the form of

7×(n + 4) = 5×(n + 8)

7n + 28 = 5n + 40

7n - 5n = 40 - 28

2n = 12

n = 6

So n = 6 is the right answer.

Answer 2

Explanation:

for internally intersecting chords the ratio of the product of the two parts of the chords is a constant. In the diagram provided we can say

5×(n+8)=7×(n+4)

5n+40=7n+28

40-28=7n-5n

12=2n

n=6