In a circle with a radius of 20 cm, X is a point located at a distance of 29 cm from the center of the circle. What will be the length (in cm) of a tangent drawn from point X to the circle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 21
Given that
In a circle with radius 20 cm
OX = 29 cm , Radius OT = 20 cm
In triangle OTX,
By using Pythagorus theorem,
XT = √(OX2 - OT2)
⇒ XT = √(292 - 202) = √(841 - 400) = √441 = 21 cm