The radius of a circle is increased to 4 times, then the ratio of the square of new circumference to the new area will be
1). 2π ∶ 1
2). π ∶ 2
3). 4π ∶ 1
4). 1 ∶ 2π
Let the old Radius be ‘r’ then the new Radius will be ‘4r’.
New circumference = 2 × π × (4r) = 8πr
Square of the new circumference = 64π2r2
New area = π × (4r)2 = 16πr2
∴ Ratio of the square of new circumference to the new area = (64π2r2)/16πr2 = 4π ? 1