a tangent is drawn to a circle from a point 17 cm away from its centre if the length of the tangent is 15 cm find the radius of the circle is
Answers
Answer:
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Answer:
Draw a circle with centre O.
Such that AB is a tangent of the circle and OB is the radius of the circle = 8 cm. And join AO such that AO = 17 cm.
Now in triangle AOB.
AB = under root (AO)^2 - (OB)^2 cm.
= under root (17)^2 - (8)^2 cm.
= under root 289 - 64 cm.
= under root 225 cm.
= 15 cm. (...Ans....)
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