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Area of Sector

Two equal cir...

Question

Two equal circles pass through each other's center. If the radius of each circle is $8$ cm. What is the length of the common chord?

A

8 \sqrt{3}

cm

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B

16

cm

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C

4 \sqrt{3}

cm

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D

4

cm

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E

None of these

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Solution

The correct option is A $8 \sqrt{3}$ cm
REF.Image
AB=?
Length of common chord
= 2 AC
$= 2 \sqrt{8^{2} - y^{2}}$
$= 2 \sqrt{64 - 16}$
$= 2 \sqrt{48}$
$= 8 \sqrt{3}$

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