Question

In the figure, what is the value of z?
A:2.9
B:5.6
C:6
D:8.75

Answer 1

Answer: 1. Every chord is a diameter

2. 35°

3. 90

4. 5.6

5. 6.9

Explanation: I took the same quick check and got 100%, hope it helps!

Answer 2

Answer: z=5.6

Explanation:

In the given picture there are 2 chords in the circle intersecting each other.

By intersecting chord theorem

`7*4=5*\ z\\\\\Rightarrow\ z=(7*4)/(5)\\\\\Rightarrow\ z=(28)/(5)\\\Rightarrow\ z=5.6`

• Intersecting chord theorem tells that when two chords intersect each other inside a circle, the products of their segments are equal.