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In the figure, when the outer circles al...

In the figure, when the outer circles all have radii 'r', then the radius of the inner circle will be

A

`sqrt(2)r`

B

`(sqrt(2)-1)r`

C

`(1)/(sqrt(2)r)`

D

`(2)/((sqrt(2)-1)r)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • In the following figure, if PQ = R (P is the centre of the bigger circle) and the shaded area is equal to A, then the radius of the inner circle is equal to -

    A
    `(pi R-A)`
    B
    `sqrt((piR-(A)/(pi)))`
    C
    `sqrt(R-(A)/(pi))`
    D
    `sqrt(R^(2)-(A)/(pi))`

  • A square is inscribed in a circle then another circle is inscribed in the square . Another square is then inscribed in the circle. Finally a circle is inscirbed in the innermost square . Thus there are 3 circles and 2 squares as shown in the figure . The radius of the outer - most circle is R . What is the radius of the inner - most circle ?

    A
    `(R)/(2) `
    B
    `(R)/(sqrt(2))`
    C
    `sqrt(2R) `
    D
    none of these

  • The difference in the areas of two concentric circles is 66 cm^2 and the radius of the outer circle is 11 cm. What is the radius of the inner circle?

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