Question

19. In the diagram, ∠ABC = 90°. What is the radius of the circle? A. 24.6 in B. 16.5 in C. 12.3 in D. 5.7 in

Answer 1

Using the Pythagoras theorem;

AC² = AB² + BC²

        = 22.1² + 10.9²

        = 607.22  

AC = √ 607.22  

    = 24.64  

But, due to the fact, the AC is the diameter and the radius is nearly half of the diameter, then accordingly.  

Radius = 24.64/2  

           = 12.32  

           ≈ 12.3  (to 1 decimal place)

Therefore the correct answer for the question will be 12.3.

Answer 2

just took the penn test the answer is 12.3 in