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. F
1 answer:
Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center <em>O</em> and radius 2.4 cm.<em> P</em> is a point on the tangent that touches the circle at point <em>Q</em>, such that the length of the tangent from <em>P </em>to <em>Q</em> is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at <em>O</em>, = 2.4 cm
The length of the tangent from<em> P</em> to the circle at point <em>Q, </em> = 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
² =
² +
²
∴ ² = 2.4² + 4.5² = 26.01
= √26.01 = 5.1
The length of OP = 5.1 cm
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