Question

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Answer 1

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

Answer-24 cm

Answer 2

Step-by-step explanation:

Let AB be a chord of a circle with centre O and radius 13 cm. Draw OL⊥AB. Join OA.

Here, OL=5 cm,OA=13 cm.

In right triangle OLA,

OA² =OL² +AL²

13² =5² +AL²

AL² =144

AL=12

Since the perpendicular from the centre to a chord bisects the chord. Therefore,

AB=2AL=2×12=24 cm

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