Solve the question of Perimeter and Area and select the option from the choices A through D/E. Check your Answer and view the explanation.
ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?
Side AB is the hypotenuse of the ΔAOB. Hence, by The Pythagorean Theorem, we have AB2 = AO2 + BO2 = 32 + 32 = 18. Hence, the area of the square ABCD equals side2 = AB2 = 18. The answer is (E).