Question
Two parallel lines touch a circle at points A and B respectively. The area of the circle is 25π cm2, then the distance between the lines is
Answer: Option C
:
C
Given that the area of circle = 25πcm2
⟹πr2=25π, where r is the radius of the circle.
i.e.,r2=25⟹r=±5
Since radius is a non-negative quantity, we have r=5cm
Now, the distance between the twoparallel lines
= Diameter of the circle
= 2× Radius of the circle = 10cm.
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:
C
Given that the area of circle = 25πcm2
⟹πr2=25π, where r is the radius of the circle.
i.e.,r2=25⟹r=±5
Since radius is a non-negative quantity, we have r=5cm
Now, the distance between the twoparallel lines
= Diameter of the circle
= 2× Radius of the circle = 10cm.
Was this answer helpful ?
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