## 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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Mathematics
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2021-07-22T16:33:13+00:00
2021-07-22T16:33:13+00:00 1 Answers
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## Answers ( )

Answer:5.1 cm

Step-by-step explanation:(Probable) Question;

Given a circle with center

Oand radius 2.4 cm.Pis a point on the tangent that touches the circle at pointQ, such that the length of the tangent fromPtoQis 4.5 cm. Find the length of OPThe given parameters are;

The radius of the circle with enter at

O, = 2.4 cmThe length of the tangent from

Pto the circle at pointQ,= 4.5 cmThe 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