Two circles touch internally. The sum of...

Two circles touch internally. The sum of their areas is `125 pi cm^2` and distance between their centres is 5 cm. Find the radii of the circles.

Answer

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Knowledge Check

If radii are 2, sqrt2 and distance between centres is sqrt2 then the angle between the circles is

A

`pi/6`

B

`pi/3`

C

`pi/2`

D

`(3pi)/4`

If radii of two circles are 4 and 3 and distance between centres is sqrt37 , then angle between the circles is

A

`30^@`

B

`45^@`

C

`60^@`

D

`90^@`

Choose the correct answer and give justification for each. From a point Q, the length of the tangent to a circle is 4 cm. and the distance of Q from the centre is 5 cm. The radius of the circle is

A

3cm

B

12 cm

C

15cm

D

24.5cm

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BEYOND PUBLICATION-TANGENTS AND SECANTS TO CIRCLE-EXERCISE

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