Home
Class 12
MATHS
A square is inscribed in circle of radiu...

A square is inscribed in circle of radius R, a circle is inscribed in the square, a new square in the circle and so on for n times.
Sum of the areas of all circles is

A

`4piR^(2)(1-(1/2)^(n))`

B

`2piR^(2)(1-(1/2)^(n))`

C

`3piR^(2)(1-(1/3)^(n))`

D

`piR^(2)(1-(1/2)^(n))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - E|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - F|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

A square inscribed in a circles.

A square is inscribed in a circle of radius R , a circle is inscribed in this square then a square in this circle and so on n times. Find the limit of the sum of areas of all the squares as n to oo .

In a circle of radius R a square is inscribed, then a circle is inscribed in the square,a new square in the circle and so on for n xx.If the ratio of the limit of the sum of areas of all the circles to the limit of the sum of areas of all the squares as n rarr oo is k, then find the value of (4k)/(pi) .

A square ABCD is inscribed in a circle of radius r . Find the area of the square.

If a square is inscribed in a circle of radius 7 cm, then find the area of the square (in cm^(2) ).

A square of side x is inscribed in a circle of radius 4 cm. Then x is

one circle is inscribbed in a square with area gpi then area of square?