The length of a tangent drawn from a point 8cm away from the centreof a circle of radius 6cm is
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Answer:
10cm
Step-by-step explanation:
The angle formed by the Tangent and the Radius is always 90°.
Therefore ∆OBC is a right angle triangle with height 6cm and hypotenuse 8cm
therefore by using Pythagorean theorem we can calculate the base:
(8cm)^2 = b^2+ (6cm)^2
64cm^2 = b^2 + 36cm^2
b^2 = (64-36)cm^2
b^2 = 25 cm^2
b = 5cm
therefore the full Tangent length = b X 2
= 5 X 2 = 10cm
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