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Concentric circle of radii 1,2,3,.....,1...

Concentric circle of radii 1,2,3,.....,100 cms are drawn. The interior of smallest circle is colored red and the angular regions are colored alternately green and red , so that no two adjacent regions are of same color. The total area of green regions in sq. cm. is equals to :

A

`1000 pi `

B

`5050 pi`

C

`4950 pi`

D

`5151 pi `

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Concentric circles of radii 1,2,3,...,100cm are drawn.The interior of the smallest circle is colored red and the angular regions are colored alternately green and red,so that no two adjacent regions are of the same color. Then,the total area of the green regions in sq. cm is equal to 1000 pi b.5050 pi c.4950 pi d.5151 pi

If the diameters of the concentric circles shown in the figure below are in the ratio 1:2:3 then find the ratio of the areas of three regions.

Knowledge Check

  • Two circles of unit radii, are so drawn that the centre of each lies on the circuference of the other. The area of the region , common to both the circles, is :

    A
    `((4pi - 3sqrt(3)))/(12)`
    B
    `((4pi-6sqrt(3)))/(12)`
    C
    `((4pi-3sqrt(3)))/(6)`
    D
    `((4pi-6sqrt(3)))/(6)`

  • Two circles of unit radii, are so drawn that the centre of each lies on the circumference of the other. The area of the region, common to both the circles, is :

    A
    `(4pi-3 sqrt3)/(12)`
    B
    `(4pi-6 sqrt3)/(12)`
    C
    `(4pi-3 sqrt3)/6`
    D
    `(4pi-6 sqrt3)/6`

  • If the area of the circle is 100cm^2 and the area of the sector of the same circle is 25cm^2 , then the angular measure of the arc of the sector is ……….. .

    A
    `45^@`
    B
    `100^@`
    C
    `90^@`
    D
    `25^@`

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