Question

The length of the tangent to a circle is 13cm distance from the circle is 12cm. Find the radius of the circle

Answer 1

The length of the tangent to a circle is 13cm distance from the circle is 12cm. Find the radius of the circle.

Solution-

Let the length of tangent = OQ = 13cm

Distance from circle = PQ = 12cm

Radius = OP =???

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By Pythagoras theorem.

Length of tangent = Hypotenuse

Distance from circle = Base

Radius = perpendicular / altitude .

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$\huge\underline \mathfrak {{h}^{2} = {p}^{2} + {b}^{2}}$

$( {13)}^{2} = > {p}^{2} + {(12)}^{2} \\ \\ 169 = {p}^{2} + 144 \\ \\ {p}^{2} = > 169 - 144 \\ \\ {p}^{2} = > 25 \\ \\ p = > \sqrt{25} \\ \\ \boxed{ p = > 5}$

Perpendicular / Radius / OP = 5cm

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Important information÷

✨ In right angled triangle hypontuse is the longest side or the sum up of the base and perpendicular .

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$\huge \underline \mathfrak \pink{mark \: as \: brainlist \: please}$

Hope it's helps you ☺️