Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 13.86 cm
| Understanding | Application |
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The length of the direct common tangent = √(d2 - (r2 - r1)2) Where d is the distance between two centers and r1, r2 are the radii of the circles. |
Length of the common tangent = √((6 + 8)2 - (8 - 6)2) ⇒ √(196 - 4) ⇒ 13.86 cm |