Question

What is the length of AD?

Answer 1

The answer is A is this geometry?

Answer 2

Answer:

D. 11.1

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of segment AD.

Upon looking at our given image, we can see that AD and AE are intersecting secants of our circle and they intersect inside the circle.

We will use intersecting secants theorem to solve for AD. According to this theorem the product of AD and AB will be equal to product of AE and AC.

$AD\times AB=AE\times AC$

$AD\times 7=13\times 6$

$\frac{AD\times 7}{7}=\frac{13\times 6}{7}$

$AD=\frac{78}{7}$

$AD=11.14285714$

$AD\approx 11.1$

Therefore, length of AD approximately 11.1 units and option D is the correct choice.