the radius of a circle is 2 cm. A point 8cm away from the center of the circle. What is the length of the tangent drawn to the circle from t

Question

the radius of a circle is 2 cm. A point 8cm away from the center of the circle. What is the length of the tangent drawn to the circle from the point.

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Jade 2 weeks 2021-11-20T20:52:12+00:00 1 Answer 0

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    2021-11-20T20:53:52+00:00

    Answer:

    7.75 cm

    Step-by-step explanation:

    Let a circle having centre O and AB is a tangent of the circle and OB is the radius of the circle = 2 cm. And join AO such that AO = 8 cm.

    AB=\sqrt{(AO)^{2}- (OB)^{2}} cm

    AB=\sqrt {8^{2}-2^{2}}=\sqrt{60}=7.745966692 cm\approx 7.75 cm

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