Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is ....Choose correct alternative answer and fill in the blank.
(A) 12 cm
(B) 13 cm
(C) 14 cm
(D) 15 cm
Answers
Answered by
4
I think that option a or 12 cm is correct
Answered by
5
Given ,
O is the century of the circle.
Chord ( AB ) = 24 cm
OM = 5 cm
OA is the radius .
We know that ,
OM is perpendicular to AB and
bisects the chord .
AM = AB/2 = 24/2 = 12 cm
In ∆OAM ,
OA² = OM² + AM²
[ By Phythogarian theorem ]
OA² = 5² + 12²
= 25 + 144
= 169
OA = √ 169
=> OA = 13 cm
Therefore ,
Radius of the circle = OA = 13 cm
Option ( B ) is correct.
••••
O is the century of the circle.
Chord ( AB ) = 24 cm
OM = 5 cm
OA is the radius .
We know that ,
OM is perpendicular to AB and
bisects the chord .
AM = AB/2 = 24/2 = 12 cm
In ∆OAM ,
OA² = OM² + AM²
[ By Phythogarian theorem ]
OA² = 5² + 12²
= 25 + 144
= 169
OA = √ 169
=> OA = 13 cm
Therefore ,
Radius of the circle = OA = 13 cm
Option ( B ) is correct.
••••
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