If a square with a diagonal of 3 cm is inscribed in a circle, then the area of this circle is equal to.

According to the terms of this task, our geometric figure is inscribed in a circle.

From the school geometry course, we know for sure that in this case the diagonal of our geometric figure will at the same time be the diameter of the circle in which it is inscribed.

Let us find out what, in this case, the radius will be equal to when we know that it is, by definition, equal to half the diameter:

3: 2 = 1.5.

We find out what the area will be equal to in our case (we will take the value of π to be 3.14):

3.14 * 1.5 ^ 2 = 3.14 * 2.25 = 7.065.

Answer: 7.065 cm2.