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The area of the circle and the area of a...

The area of the circle and the area of a regular polygon of n sides and the perimeter equal to the circle are in the ratio of

A

`tan "pi/n : pi/n`

B

`cos " pi/n : pi/n`

C

`sin " pi/n : pi/n`

D

`cot " pi/n : pi/n`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to

    A
    `a/2cot(pi/(2n))`
    B
    `a/2cot(pi/(n))`
    C
    `a/2tan(pi/(n))`
    D
    `a/2cos(pi/(n))`

  • If the area of a circle and a square are equal, then the ratio of their perimeters is

    A
    `1:1 `
    B
    `2:1`
    C
    `1:2 `
    D
    `sqrt(pi) : 2`

  • If the area of a circle and a square are equal, then the ratio of their perimeter is

    A
    `1:1`
    B
    `2:pi`
    C
    `pi:2`
    D
    `sqrt(pi):2`

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