Two parallel lines touch a circle at points A and B respectively. The area of the circle is $25 π {c m}^{2}$ then AB is:

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Solution

The correct option is C
10

Since, the lines are tangents and parallel to each other, the distance between them is the diameter.

$\Rightarrow A B = 2 r$

Now, Area of circle $= 25 π$ [given]
$\Rightarrow π r^{2} = 25 π$
$\Rightarrow r = 5$ m
$\Rightarrow A B = 2 r = 2 \times 5 = 10 c m$

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Two parallel lines touch a circle at points A and B respectively. The area of the circle is 25π cm2 then AB is:

The correct option is C 10 Since, the lines are tangents and parallel to each other, the distance between them is the diameter. ⇒AB=2r Now, Area of circle =25π [given]​ ⇒πr2=25π ⇒r=5 m ⇒AB=2r=2×5=10 cm

Two parallel lines touch a circle at points A and B respectively. The area of the circle is $25 π {c m}^{2}$ then AB is:

The correct option is C
10

Since, the lines are tangents and parallel to each other, the distance between them is the diameter.

$\Rightarrow A B = 2 r$

Now, Area of circle $= 25 π$ [given]
$\Rightarrow π r^{2} = 25 π$
$\Rightarrow r = 5$ m
$\Rightarrow A B = 2 r = 2 \times 5 = 10 c m$