the diameter of a circle is 26 CM. if the distance of a chord of the circle from its centre is 5 cm, then what is the length of the chord in cm ? A)12 B)24 C)18 D)√651
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6
c-18 is the answer to this
Answered by
12
Dia=26cm
R=13cm
Option B
Distance from the center to chord(perpendicular distance)=5cm.
The perpendicular from the center to the chord divides the chord into two equal parts.
Now, if you draw the diagram, you can see 2 right angled traingles, with the height being '5cm' and hypotenuse being the radius,i.e, '13cm'.
So length(half length) of chord= rt13^2 - 5^2 = rt(169-25) =12 cm= half lenth of chord.
So, the chord length= 2*12=24cm
R=13cm
Option B
Distance from the center to chord(perpendicular distance)=5cm.
The perpendicular from the center to the chord divides the chord into two equal parts.
Now, if you draw the diagram, you can see 2 right angled traingles, with the height being '5cm' and hypotenuse being the radius,i.e, '13cm'.
So length(half length) of chord= rt13^2 - 5^2 = rt(169-25) =12 cm= half lenth of chord.
So, the chord length= 2*12=24cm
sarojbeheruk:
Which answer is correct 18 and 24
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