The distance between the centers of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 15 cm
| Understanding | Application |
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The transverse tangent to the two untouched circles will be = √(d2 – (r1 + r2)2) Where 'd' is the distance between centers and r1,r2 is the radii of circles. |
The transverse tangent of the two circles = √((17)2 – (4 + 4)2) ⇒ √(289 – 64) ⇒ √225 = 15 cm |