Math, asked by tapti63, 7 months ago

A point P is 25 cm from the centre 'O' of the circle and length of the tangent drawn from 'P' to the circle is 24 cm. Find the radius of the circle.

Answers

Answered by topper05
1

A point P is 25cm away from the centre O of a circle and the ... Find the radius ... OP^2 + 24^2 = 25^2 ... The radius of the circle will be 7cm

pls Mark brainliast

Answered by Anonymous
33

\Huge\bf\red{Question}\\

A point P is 25 cm from the centre 'O' of the circle and length of the tangent drawn from 'P' to the circle is 24 cm. Find the radius of the circle.

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\Huge\bf\pink{Solution}\\

From right angled ∆AOP

➡ OP² = OA² + AP²

➡ (25)² = OA² + (24)²

➡ 625 = OA² + 576

➡ OA² = 625 - 576 = 49 = 7²

➡ OA = 7 cm

.°. The radius of the circle is 7 cm

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