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:

5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

25 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 10 cm
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]
$\Rightarrow π r^{2} = 25 π$
$\Rightarrow r = 5$ cm
$\Rightarrow A B = 2 r = 2 \times 5 = 10$ cm

Suggest Corrections

Similar questions

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:

Q. Two parallel lines touch the circle at point A and B respectively. If area of the circle is

36 π c m^{2}

, then find the length of AB

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

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

Q. Two parallel lines touch a circle at points A and B respectively. The area of the circle is 25

π

{c m}^{2}

, Find the distance between the lines.

Join BYJU'S Learning Program

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 cmSince, 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 cm ⇒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 cm
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]
$\Rightarrow π r^{2} = 25 π$
$\Rightarrow r = 5$ cm
$\Rightarrow A B = 2 r = 2 \times 5 = 10$ cm