The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is:
Question and options
The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is:
- 15 cm
- 17 cm
- 19 cm
- 21 cm
Answer and explanation
Correct answer: C - 19 cm
OD is perpendicular to BD, so D.B = |OD|^2 = 64 with O at the origin. A = -B, so AD^2 = |D + B|^2 = 64 + 169 + 2(64) = 361. AD = 19 cm.
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