How can I find the area of a half circle thats on top on a square with both sides being 4 inches?
Assuming that the circle just covers the square, it has diameter 4, or radius=2. So the half-circle has area 4π/2 = 2π
Add that to the area of the square.
To find the area of a half circle on top of a square, you need to calculate the area of the square and the area of the half circle separately, then add them together.
Step 1: Calculate the area of the square.
The area of a square is given by the formula: Area = side length × side length. Since both sides are 4 inches, the area is 4 inches × 4 inches = 16 square inches.
Step 2: Calculate the area of the half circle.
The area of a circle is given by the formula: Area = π × radius × radius. The radius of the half circle is half the side length of the square, so it is 4 inches / 2 = 2 inches. The area of the half circle is 1/2 of the area of a full circle, so the area of the half circle is 1/2 × π × 2 inches × 2 inches = π square inches.
Step 3: Add the areas of the square and the half circle.
Since the area of the square is 16 square inches and the area of the half circle is π square inches, the total area of the half circle on top of the square is 16 square inches + π square inches. This can also be written as 16 + π square inches.
Therefore, the area of the half circle on top of a square with both sides being 4 inches is 16 + π square inches.
To find the area of a half circle on top of a square, you need to follow these steps:
1. Determine the area of the square: Since both sides of the square measure 4 inches, the area of the square can be calculated by multiplying the length of one side by itself. In this case, 4 inches multiplied by 4 inches equals 16 square inches.
2. Calculate the area of the half circle: The area of a circle can be found using the formula A = πr^2, where A represents the area and r represents the radius. Since you have a half circle, you need to divide the area by 2.
3. Find the radius: The radius of the circle is equal to half the length of the side of the square, which is 4 inches / 2 = 2 inches.
4. Substitute the radius into the formula: Plugging in the radius (2 inches) into the formula A = πr^2, we get A = π * 2^2 = 4π square inches.
5. Divide the area of the half circle by 2: Since you have a half circle, divide the calculated area (4π square inches) by 2: 4π / 2 = 2π square inches.
Therefore, the area of the half circle on top of the square with both sides measuring 4 inches is 2π square inches.