Question 84

A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?

I. The diameter of the circle is $$25 \sqrt{2}$$ cm.

II. The side of the square is $$25$$ cm.

Solution

In these type of questions, we don't need to find out the exact answer but just check if the answer can be calculated.

When a square is inscribed inside a circle, the diagonal of the square is a diameter of the circle. Hence, if either the circle diameter or side of the square is given, then we can determine the areas of both the circle and square as well as the difference between their areas.

Hence, the question can be answered by using either statement alone.


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