Please Please HELP!!!! I need the answer to this and i've worked it out but I don't know if it is correct... Please check my answer!!!!
The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.
I can't post a picture of it but it shows a larger square with a smaller square inside it at the middle, and it shows the radius of the larger square to be 9 cm and the radius of the small square to be 4 cm. The smaller square is no shaded inside the larger square and you are supposed to the find the shaded region which is the area of the smaller square minus the area of the larger square. Also the area of the larger square includes the area of the small square.
I REALLY hope that was clear enough....
The answer i got was 130 cm^2.... PLEASE HELP!! THANK YOU!!
you are correct!
what is the "radius" of a square? Circles have a radius. Squares have a side and a diagonal.
To find the area of the shaded region, which is the area of the smaller square minus the area of the larger square, you can use the formula for the area of a square, which is side length squared.
1. Start by finding the side length of the smaller square. Since the radius of the smaller square is 4 cm, the diameter would be twice that, which is 8 cm. The side length of the square is equal to the length of the diameter, so the side length of the smaller square is 8 cm.
2. Now, find the area of the smaller square. Using the formula for the area of a square, we have 8 cm x 8 cm = 64 cm^2.
3. Next, find the side length of the larger square. Since the radius of the larger square is 9 cm, the diameter would be twice that, which is 18 cm. The side length of the square is equal to the length of the diameter, so the side length of the larger square is 18 cm.
4. Find the area of the larger square. Using the formula for the area of a square, we have 18 cm x 18 cm = 324 cm^2.
5. Finally, subtract the area of the larger square from the area of the smaller square to find the area of the shaded region. 64 cm^2 - 324 cm^2 = -260 cm^2.
Based on the calculations, the area of the shaded region is -260 cm^2, which is not a valid outcome. Therefore, it seems like there might be a mistake in the calculations or the interpretation of the problem. Double-check your values and make sure you're subtracting the correct areas.
To find the area of the shaded region, we need to calculate the area of both the smaller square and the larger square. Then, we subtract the area of the larger square from the area of the smaller square to get the shaded region.
First, let's calculate the area of the smaller square. Since it is a regular square, the formula for the area of a square is side length squared. The side length of the small square is equal to twice the radius of the small square, which is 4 cm. Therefore, the side length of the small square is 8 cm. To find the area, we square the side length: 8 cm * 8 cm = 64 cm^2.
Next, let's find the area of the larger square. Again, since it is a regular square, we use the same formula: side length squared. The side length of the large square is equal to twice the radius of the large square, which is 9 cm. So the side length of the large square is 18 cm. To find the area, we square the side length: 18 cm * 18 cm = 324 cm^2.
Now, to find the shaded area, we subtract the area of the larger square (324 cm^2) from the area of the smaller square (64 cm^2): 64 cm^2 - 324 cm^2 = -260 cm^2.
However, it's important to note that a negative area does not make sense in this case. This means that there might have been a mistake in the calculations or the problem was not accurately described.
I recommend double-checking the measurements and calculations to ensure accuracy. If the measurements and calculations are correct, and the shaded region is indeed negative, it would indicate that the smaller square is actually larger than the larger square, which seems unlikely.