To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.
The diagonal of the square is equal to the diameter of the circle, which is 10 units. Since a square's diagonal is $\sqrt{2}$ times the length of a side, each side of the square is $10/\sqrt{2} = 10\sqrt{2}/2 = 5\sqrt{2}$ units long.
The area of the square is $(5\sqrt{2})^2 = 25 \cdot 2 = 50$ square units.
The area of the circle is $\pi r^2$, but since we are only given a radius of 5 units, we will need to approximate $\pi$ as 3.14.
So the area of the circle is $3.14 \cdot 5^2 = 3.14 \cdot 25 = 78.5$ square units.
Therefore, the area of the shaded region is $50 - 78.5 = -28.5$ square units.
However, the area of a shape cannot be negative, so there must be an error in the calculation or the diagram.
Please provide more information or check your calculations to correct the error.
The figure below shows circle O inscribed inside square ABCD. Find the area of the shaded region to the nearest tenth.
1 answer