Multiple choice

Two concentric circle radii 6 cm and 10 cm respectively tangent of the smaller circle is chord of larger circle then find the length of tangents-

  1. 16cm

  2. 8 cm

  3. 15 cm

  4. 7cm

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A Correct answer
Explanation

For two concentric circles with radii 6 cm (inner) and 10 cm (outer), a tangent to the inner circle becomes a chord of the outer circle. The tangent length from the point of tangency to the intersection with the outer circle forms a right triangle with the line connecting to the center. Using Pythagoras theorem: tangent length = √(10² - 6²) = √(100 - 36) = √64 = 8 cm. Since the chord includes two equal tangents, total length = 2 × 8 = 16 cm.