Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm.
Answers
Answered by
1
bh
Step-by-step explanation:
Given Distance of point M from the centre (d) = 17 cm,
radius of the circle (r) = 8 cm
Let Length of the tangent = l cm
\begin{gathered}l = \sqrt{d^{2}-r^{2}}\\=\sqrt{17^{2}-8^{2}}\\=\sqrt{(17+8)(17-8)}\\=\sqrt{25\times 9}\\=5\times 3\\=15\:cm \end{gathered}
l=
d
2
−r
2
=
17
2
−8
2
=
(17+8)(17−8)
=
25×9
=5×3
=15cm
Therefore,
Length \: of \: tangent (l)= 15\:cmLengthoftangent(l)=15cm
Answered by
1
15 is the ans hope u don't find difficulty
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