The length of a chord which is at a distance of 5 cm from the centre a circle of radius 13 cm is

20 cm

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24 cm

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25 cm

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12 cm

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Solution

The correct option is B
24 cm

Join OL

In the right triangle OAL

OA² = OL² + AL²

13² = 5² + AL²

AL²= 144

AL = 12

Since the perpendicular from the centre to the chord bisects the chord, therefore

AB = 2AL = 24 cm

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The length of a chord which is at a distance of 5 cm from the centre a circle of radius 13 cm is

The correct option is B 24 cm Join OL In the right triangle OAL OA2 = OL2 + AL2 132 = 52 + AL2 AL2 = 144 AL = 12 Since the perpendicular from the centre to the chord bisects the chord, therefore AB = 2AL = 24 cm

The correct option is B
24 cm

Join OL

In the right triangle OAL

OA² = OL² + AL²

13² = 5² + AL²

AL²= 144

AL = 12

Since the perpendicular from the centre to the chord bisects the chord, therefore

AB = 2AL = 24 cm