Question

The radius of circle O is 28, and OC = 9. The diagram is not drawn to scale.What is the length of AB? Round the answer to the nearest tenth.

Answer 1

tan <COB = BC/OC OK?

Answer 2

How do I find B?

Answer 3

hint:
if we apply the Pythagorean Theorem, we can write:
\[\overline {BC} = \sqrt {{{28}^2} - {9^2}} = ...?\]

Answer 4

so BC=26.5

Answer 5

So 53 is the answer

Answer 6

correct!
\[\overline {BC} = \sqrt {{{28}^2} - {9^2}} = 26.51\]

Answer 7

next we have:
\[\overline {AC} = 2\overline {BC} = 2 \cdot 26.51 = ...?\]

Answer 8

AC=2BC=53?

Answer 9

correct! Better is:
\[\overline {AC} = 2\overline {BC} = 2 \cdot 26.51 = {\mathbf{53}}{\mathbf{.0}}\]

Answer 10

Alright, thank you!

Answer 11

:)