Question

If the radius of Circle O is 17 and (AB = 30), then (OE) equals what?

a. 13
b. 17
c. 23
d. 27

Answer 1

The length of segment OE is approximately 22.68. Hence, c) is correct.

Step-by-step explanation:

To find the length of segment OE, we can use the Pythagorean theorem. Since AO is the radius of Circle O and AB is the diameter of Circle O, we can say that AO = AB/2.

Therefore, AO = 30/2 = 15.

Now, we can use the Pythagorean theorem with AO as one of the legs and OE as the hypotenuse.

Let's call OE = x. Using the Pythagorean theorem, we get:

x² = AO² + OE²

x² = 15² + 17²

x² = 514

x = √(514)

x = 22.68