Question

OV is a radius of circle O. VW is tangent to circle O at point V, VW = 8, and OW = 10.

What is the length of OV?
A 2
B 6
C 16
D 36

Answer 1

Since VW is tangent to circle O at point V, OV is perpendicular to VW. Therefore, we can use the Pythagorean theorem to find OV.

We know that OW = 10 and VW = 8. Let x be the length of OV.

By the Pythagorean theorem:

OV^2 + WV^2 = OW^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 = 36

x = 6

Therefore, the length of OV is 6, and the answer is B.