A direct common tangent is drawn to two circles of radius 25cm and 20 cm. The centers of the two circles are 35 cm apart. What is the length (in cm) of the tangent?
Show answer & explanation
Correct answer: C
Explanation
The Correct answer is option 3 i.e. 20.
Length of direct common tangent = √(Difference between the centers)2 - (Difference between the radius of two circles)2
According to the question;
⇒ length (in cm) of the tangent = √(35)2 - (25 - 20)2
⇒ √(1225 - 25)
⇒ √1200
⇒ 20√3