Question

Radius of a circle is 20 cm. Distance of a chord from the center of the circle is 12cm. Find the length of the chord.

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Answer 1

Answer:

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Answer 2

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• Radius of a circle is 20 cm. Distance of a chord from the center of the circle is 12cm. Find the length of the chord.

$\Large\green{\qquad\underline{\pmb{{ \mathbb { \maltese  \:  GIVEN \:  \maltese }}}}}$

• Radius of a circle is 20 cm

• Distance of a chord from the center of the circle is 12cm.

$\Large \orange{\qquad \underline{ \pmb{{ \mathbb{ \maltese  \: Consider \:  \maltese }}}}}$

• Let the length of chord is 2x

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• Half the length of chord is x(base)
• (perpendicular) Distance of each chord from center is 12cm

$\blue{By \: \: Pythagoras \: theorem}$

$\red{20²=x² + 12²} \\ \\\green{400=x²+144 }\\ \\400-144=x² \\ \\ \purple{256=x² }\\ \\ \pink{x=16}$

$\large \mathfrak{ \text{W}e \: \text{K}now }$

The length of the chord.

$2x= 2×16 = 32 \: cm$

$\huge\boxed{\dag\sf\red{Thanks}\dag}$