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vaieri [72.5K]
4 years ago
14

The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.

)    A. 12.4 B. 3.8 C. 24.9 D. 44.4

Mathematics
1 answer:
guajiro [1.7K]4 years ago
6 0
We are asked to solve for the length AB of the given circle with center O.
The angle of OCB is 90°, therefore, we can apply SOH CAH TOA and Pythagorean theorem in the problem.

OB² = OC² + CB² where OB is the radius which means its length is equal to 18 units. 
OB = 18 units
OC = 13 units

18² = 13² + CB²
CB = 12.45 units

AB is twice of CB length, therefore we have:
AB = 12.45 * 2
AB = 24.9 units

The answer is the letter "C".
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