What is the area of the largest square which can be inscribed in a circle of radius 28 cm?
Answer & explanation
Correct answer: option 2
We have,
Radius of circle = 28cm
We know that the diagonal of the square which can be inscribed in a circle is equal to the diameter of the circle
So, the diagonal of square = 28 × 2 = 56 cm
= \(\sqrt {2}\) × a = 56
= a = 28\(\sqrt {2}\)
So, the area of square = a2 = (28\(\sqrt {3}\))2
= 1568 cm2