Q. 1 D4.6( 10 Votes )
Choose correct alternative answer and fill in the blanks.
Length of a chord of a circle is 24 cm. If distance of the chord from the center is 5 cm, then the radius of that circle is ….....
A. 12 cm
B. 13 cm
C. 14 cm
D. 15 cm
Answer :
Given that OP = 5 cm
And AB = 24cm
We know that a perpendicular drawn from the center of a circle on its chord bisects
the chord.
∴ AP = PB = 12 cm
In the right angled ΔOAP using Pythagoras theorem,
⇒ OA2 = OP2 + AP2
⇒ OA2 = 52 + 122
⇒ OA2 = 25 + 144
⇒ OA2 = 169
⇒ OA = 13cm
Hence, The correct option is B.
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