In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm²) of all the small squares ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 125.44
Radius of the circle = 14√2 cm
So,
Diameter of the circle = 28√2 cm
And
Side of the larger square = 28√2/√2 = 28 cm
Let the side of smaller square be x.
x = (Length of diameter - length of a side)/2
= (28√2 - 28)/2
= 14√2 - 14
= 14(√2 - 1)
= 14 × 0.4 = 5.6
Area = x² = 31.36
Hence,
Area of 4 squares = 31.36 × 4 = 125.44