Sail E0 Webinar
Question

If Area of the square inscribed in a semicircle is 2cm2 .Find the area of the square inscribed in a full circle?

Options:
A .  1 sq cm
B .  3 sq cm
C .  4 sq cm
D .  5 sq cm
E .  None of these
Answer: Option D
 -    Area of square = 2cm2
  Side of square = square root of 2
  Let r be the radius of the circle and adjust it like that it forms a right angle triangle then
  r2 = (square root of 2)2 + (square root of 2 / 2)2
  r2 = 2 + ( 2 / 4)
  r2 = 5 / 2
  r = square root of ( 5 / 2)
  In a full square the diagonal of square will be the diameter of the cirlcle.
  r = square root of ( 5 / 2) is this so diameter = 2 x square root of (5 / 2)
  Diagonal of square = side x square root of 2
  side x square root of 2 = 2 x square root of 5 / square root of 2
  side x 2 = 2 x square root of 5
  side = square root of 5
  Area of square = r2
  = (square root of 5)2
  = 5 cm2

Was this answer helpful ?
Next Question

Submit Solution

Your email address will not be published. Required fields are marked *

Latest Videos

Latest Test Papers