Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the leng

Question

Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP

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Helga 1 week 2021-07-22T16:33:13+00:00 1 Answers 1 views 0

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    2021-07-22T16:35:07+00:00

    Answer:

    5.1 cm

    Step-by-step explanation:

    (Probable) Question;

    Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

    The given parameters are;

    The radius of the circle with enter at O, \overline{OQ} = 2.4 cm

    The length of the tangent from P to the circle at point Q, \overline{PQ} = 4.5 cm

    The length of OP = Required

    By Pythagoras’s theorem, we have;

    \overline{OP}² = \overline{OQ}² + \overline{PQ}²

    \overline{OP}² = 2.4² + 4.5² = 26.01

    \overline{OP} = √26.01 = 5.1

    The length of OP = 5.1 cm

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