What is the area of the largest square which can be inscribed in a circle of radius 14 cm? Take ($π=\frac{22}{7}$)
Answer & explanation
Correct answer: option 1
We know that,
Area of the square = (side)2
We have,
Diameter of the circle = Diagonal of the square
Radius = 14 cm
We know,
Diameter of the circle = Diagonal of the square
= Diagonal of the square = 28 cm
= Side × \(\sqrt {2}\) = 28
= Side = 14\(\sqrt {2}\) cm
Area of the square = (side)2 = (14\(\sqrt {2}\))2 = 392 cm2.