The length of each of two tangents drawn from an external point to a circle is 10 cm. What is the approximate distnace from the external point to the center of the circle, if the radius is 6 cm?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12 cm.
Tangent length (AB) = 10 cm and Radius (OB) = 6 cm
Since OB⊥AB, ∠OBA = 90°
So, ΔOAB is a right-angle triangle.
Distance from external point to center = √(102 + 62)
= √(100 + 36)
= √136
= 11.66...
≈ 12 cm