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The distance between the centres of two circles with radii 9 cm and 16 cm is 25 cm. The length of the segment of the tangent between them is
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- 24 cm
- 25 cm
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50 cm. 3 - 12 cm
- 24 cm
Correct Option: A
On the basis of question we draw a figure of two circles with radii 9 cm and 16 cm ,
Given that , r1 = 9 cm and r2 = 16 cm
Distance between two centres = 25 cm
∴ Required length of tangent = √(Distance between two centres)2 - (r1 - r2)2
Required length of tangent = √(25)² - (16 -9)²
Required length of tangent = √625 - 49
Required length of tangent = √576 = 24 cm
