Answer:
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,
OA
2
=OL
+AL
13
=5
AL
=144
AL=12
Since the perpendicular from the centre to a chord bisects the chord. Therefore,
AB=2AL=2×12=24 cm
solution
Step-by-step explanation:
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Answers & Comments
Answer:
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,
OA
2
=OL
2
+AL
2
13
2
=5
2
+AL
2
AL
2
=144
AL=12
Since the perpendicular from the centre to a chord bisects the chord. Therefore,
AB=2AL=2×12=24 cm
solution
Step-by-step explanation: