First, we need to find the radius of circle K. Since the circle is inscribed in a square, the diameter of the circle will be the same as the side length of the square. Since the side length of the square is 9, the diameter (and radius) of the circle is also 9.
Next, we need to find the area of the circle. The formula for the area of a circle is A = πr^2. Substituting in the radius of 9, we get A = π(9)^2 = 81π.
Now, we need to find the area of the square GHJI. Since the side length is 9, the area of the square is 9^2 = 81.
Therefore, the area of the shaded region is the difference between the area of the square and the circle: 81 - 81π ≈ 10.1 (rounded to the nearest tenth).
So, the area of the shaded region is approximately 10.1.
Square G, H, I, JGHIJ circumscribes circle KK. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.
G
H
I
J
9
9
K
1 answer