This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
A shape made up of a rectangle of the left and a semicircle on the right. The rectangle has a width of 15 meters and a height of 12 meters.
round the answer to the nearest hundredths place.
The rectangle area = 12* 15
The semicircle area = (1/2) pi R^2 = (1/2) * 3.14159* (6)^2
add
Now wait a minute Emma. This is very similar to a question you asked earlier. Try yourself before asking please.
What do you mean?
What is the area? Composite figure composed of a square with dimensions 3 ft by 3 ft, triangle with a base of 11 ft and a height of 3 ft and rectangle with dimensions 11 ft by 3 ft.
Emma
1 hour ago
😑 That's a different question.
To find the area of the figure, we can break it down into two parts: the rectangle and the semicircle.
1. Area of the rectangle:
The formula to find the area of a rectangle is length × width. In this case, the width is given as 15 meters, and the height is given as 12 meters. Therefore, the area of the rectangle is 15 meters × 12 meters = 180 square meters.
2. Area of the semicircle:
The formula to find the area of a semicircle is 1/2 × π × r^2, where π is the value of pi and r is the radius of the semicircle.
In this case, the semicircle is on the right side of the rectangle. The width of the rectangle is also the diameter of the semicircle, so the radius (r) is half of the width, which is 15 meters / 2 = 7.5 meters.
Hence, the area of the semicircle is 1/2 × 3.14 × (7.5 meters)^2 = 1/2 × 3.14 × 56.25 square meters ≈ 88.57 square meters (rounded to the nearest hundredth).
3. Total area of the figure:
To get the total area, we add the areas of the rectangle and the semicircle: 180 square meters + 88.57 square meters ≈ 268.57 square meters (rounded to the nearest hundredth).
Therefore, the area of the given figure is approximately 268.57 square meters.