What is the formula for finding the area of a figure that is composed of a rectangle and a semicircle?
To find the area of a figure composed of a rectangle and a semicircle, we need to calculate the areas of both shapes separately and then add them together.
First, let's find the area of the rectangle. The formula for the area of a rectangle is length multiplied by width. So, if the length of the rectangle is "l" and the width is "w", the area of the rectangle is lw.
Next, let's find the area of a semicircle. The formula for the area of a semicircle is (πr^2)/2. Here, "r" represents the radius of the semicircle.
To find the radius, we need to determine the diameter (d) of the semicircle. Since the diameter of a semicircle is equal to the width of the rectangle, the diameter is also "w". Therefore, the radius is half of the diameter, which is w/2.
Now, we can substitute the value of the radius into the formula for the area of the semicircle. So the area of a semicircle with radius w/2 is (π(w/2)^2)/2.
Finally, to find the total area of the figure, we add the area of the rectangle and the area of the semicircle together.
Area of figure = Area of rectangle + Area of semicircle
= lw + (π(w/2)^2)/2
So, the formula for finding the area of a figure composed of a rectangle and a semicircle is lw + (π(w/2)^2)/2.
To find the area of a figure composed of a rectangle and a semicircle, you need to find the individual areas of the rectangle and the semicircle, and then add them together.
Here are the steps:
1. Determine the dimensions of the rectangle. Let's say the length of the rectangle is L and the width is W.
2. The area of the rectangle is calculated by multiplying the length and width together: Area_rectangle = L * W.
3. Determine the radius of the semicircle. Let's say the radius is r.
4. The area of the semicircle is half the area of a full circle: Area_semicircle = (1/2) * π * r^2.
5. Add the areas of the rectangle and the semicircle together to find the total area: Total Area = Area_rectangle + Area_semicircle.
That's it! You have now found the formula for finding the area of a figure composed of a rectangle and a semicircle.