A circle has a radius of 13 cm with a chord 12 cm away fr...
A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.
16 cm
8 cm
5 cm
10 cm
Correct answer is D
|AP| = |PB| = x (The perpendicular to a chord bisects the chord if drawn from the center of the circle.)
From ∆OPB
Using Pythagoras theorem
⇒ 132=122+x2
⇒ 169=144+x2
⇒ 169−144=x2
⇒ x2=25
⇒ x=√25=5cm
∴ Length of the chord |AB| = x+x=5+5=10cm
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