In the given figure, $O$ is the centre of the circle. Given that $O D = O E = 3$ cm and $A D = 4$ cm. Find the length of the longest chord.

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Solution

The correct option is C $10$ cm
Given, $O D ⊥ A B$
thus, In $△ O A D$
$O A^{2} = O D^{2} + A D^{2}$
$O A^{2} = 3^{2} + 4^{2}$
$O A = 5$ cm
Thus, radius of the circle is $5$ cm. Hence, the diameter of the circle or the longest chord is $10$ cm.

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In the given figure, O is the centre of the circle. Given that OD=OE=3 cm and AD=4 cm. Find the length of the longest chord.

The correct option is C 10 cmGiven, OD⊥ABthus, In △OADOA2=OD2+AD2OA2=32+42OA=5 cmThus, radius of the circle is 5 cm. Hence, the diameter of the circle or the longest chord is 10 cm.

In the given figure, $O$ is the centre of the circle. Given that $O D = O E = 3$ cm and $A D = 4$ cm. Find the length of the longest chord.

The correct option is C $10$ cm
Given, $O D ⊥ A B$
thus, In $△ O A D$
$O A^{2} = O D^{2} + A D^{2}$
$O A^{2} = 3^{2} + 4^{2}$
$O A = 5$ cm
Thus, radius of the circle is $5$ cm. Hence, the diameter of the circle or the longest chord is $10$ cm.