The length of the chord of a circle is $8$ cm and perpendicular distance between centre and the chord is $3$ cm. Then the radius of the circle is equal to?

4 cm

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5 cm

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6 cm

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8 cm

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Solution

The correct option is B 5 cm
$O D = 3 c m$
$A B = 8 c m$
Radius $= O B$
In $△ O B D$
$O B^{2} = B D^{2} + O D^{2}$
$⟹ O B^{2} = 4^{2} + 3^{2}$
$⟹ O B = 5 c m$
Radius $= 5 c m$

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Similar questions

In the given figure, radius of the circle is $5 c m$ and perpendicular distance from the centre of the circle to the chord, $A C$ is $3 c m$ .

Find the length of the chord, $A C$ .

In a circle of radius 3 cm, construct a chord of length 4 cm. Measure the distance between the centre and the chord.

6

8

4

8 c m

3 c m

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