A tangent is drawn from a point at a distance of 17cm of circle c ( 0 , r ) of radius 8 cm . The length of it's tangent is
Answers
Given : A tangent is drawn from a point at a distance of 17cm of circle c ( 0 , r ) of radius 8 cm
To Find : length of it's tangent
Solution:
circle c ( 0 , r )
Hence center of circle = (0 ,0)
Radius = r = 8 cm ( given )
A tangent is drawn from a point at a distance of 17cm
Hence distance of point from circle = 17 cm
Using Pythagoras theorem
17² = Tangent length² + radius²
=> 17² = Tangent length² + 8²
=> Tangent length² = 17² - 8²
=> Tangent length² = (17 + 8)(17 - 8)
=> Tangent length² = 25 (9)
=> Tangent length² = 5².3²
=> Tangent length = 5 * 3
=> Tangent length = 15 cm
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