Question

If OB= 10 and AR= 6 then OR =

Answer 1

11.66 because AR and RB are equal radii therefore RB = 6 as well then all you need is the Pythagorean theorem

Answer 2

The answer is 8.

Explanation:

Keep in mind that the Pythagorean Theorem is what you need to use to answer this. So, your equation would first start out as:

`(OR)^(2) + (AR)^(2) = (OB)^(2)`

Then you'll put the numbers into the equation:

`(OR)^(2) + (6)^(2) =(10)^(2)`

Then you simplify:

`(OR)^(2) +36 + 100`

You'll then want to subtract:

`100-36`

And your answer will be:

`64`

People tend to think they're done with the problem and just think that 64 id the answer, however, it's not. You have to find the square root first.

`(OR)^(2) = √(64)`

`(OR)^2 = 8`

Therefore, your answer will be 8.

Hope this helped.