1.

Find the radius of a circle if 8 m is the length of the tangent, 11 m is the distance between the center of the circle the external point.(a) 7 m(b) 5 m(c) √57 m(d) √58 mI have been asked this question in class test.Asked question is from Tangent to a Circle in portion Circles of Mathematics – Class 10

Answer»

The CORRECT option is (C) √57 m

Explanation: Length of the tangent = \(\SQRT {d^2-R^2}\)

8 = \(\sqrt {11^2-r^2}\)

r^2 =11^2 – 8^2

r = \(\sqrt {11^2-8^2}\)

r = \(\sqrt {121-64}\)

r = √57



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