A semi circle sits on top of a rectangle to form the figure below find its area and perimeter use 3.4 for pie on the side 4 inches and on the bottom 6 inches what is the answer
To find the area and perimeter of the figure formed by a semicircle sitting on top of a rectangle, we will need to calculate the area of both the semicircle and the rectangle, as well as the perimeter of the entire figure.
1. Calculate the area of the rectangle:
The formula for calculating the area of a rectangle is A = length × width. In this case, the length is 6 inches and the width is 4 inches. So, the area of the rectangle is A = 6 × 4 = 24 square inches.
2. Calculate the area of the semicircle:
The formula for calculating the area of a semicircle is A = (π × r^2) / 2, where π is pi and r is the radius. The radius of the semicircle is half the width of the rectangle, so r = 4 / 2 = 2 inches. Plugging in these values, we get A = (3.4 × 2^2) / 2 ≈ 6.8 square inches.
3. Calculate the total area:
Add the area of the rectangle and the area of the semicircle: Total Area = Area of Rectangle + Area of Semicircle = 24 + 6.8 = 30.8 square inches.
4. Calculate the perimeter:
The perimeter of the figure is the sum of the lengths of all its sides. In this case, we have two sides of the rectangle: 6 inches and 4 inches. Additionally, we need to calculate the circumference of the semicircle. The formula for the circumference of a circle is C = 2πr, but in this case, it will be half of that since we have a semicircle. So, C = πr = 3.4 × 2 ≈ 6.8 inches. Thus, the perimeter is P = 6 + 4 + 6.8 = 16.8 inches.
Therefore, the area of the figure is 30.8 square inches, and the perimeter is 16.8 inches.
To find the area and perimeter of the figure formed by a semicircle on top of a rectangle, we need to calculate the area and perimeter separately for both the semicircle and the rectangle, and then add them together.
First, let's calculate the area and perimeter of the semicircle. The formula for the area of a semicircle is (πr^2)/2, and the formula for the perimeter (circumference) of a semicircle is πr + 2r.
Given π = 3.4 and the diameter of the semicircle is 4 inches (radius = diameter/2 = 4/2 = 2 inches):
1. Area of the semicircle:
Area = (πr^2)/2
Area = (3.4 * 2^2)/2
Area = (3.4 * 4)/2
Area = 13.6/2
Area = 6.8 square inches
2. Perimeter (circumference) of the semicircle:
Perimeter = πr + 2r
Perimeter = 3.4 * 2 + 2 * 2
Perimeter = 6.8 + 4
Perimeter = 10.8 inches
Next, let's calculate the area and perimeter of the rectangle. The formula for the area of a rectangle is length * width, and the formula for the perimeter of a rectangle is 2 * (length + width).
Given the length of the rectangle is 6 inches and the width (base of the semicircle) is 4 inches:
1. Area of the rectangle:
Area = length * width
Area = 6 * 4
Area = 24 square inches
2. Perimeter of the rectangle:
Perimeter = 2 * (length + width)
Perimeter = 2 * (6 + 4)
Perimeter = 2 * 10
Perimeter = 20 inches
Finally, let's find the total area and perimeter by adding the individual values:
Total area = area of semicircle + area of rectangle
Total area = 6.8 + 24
Total area = 30.8 square inches
Total perimeter = perimeter of semicircle + perimeter of rectangle
Total perimeter = 10.8 + 20
Total perimeter = 30.8 inches
Therefore, the area of the figure is 30.8 square inches, and the perimeter is 30.8 inches.
R = 3
perimeter = 4 + 6 + 4 + pi * 3
area = 4*6 + (1/2)* pi *(9)