Find the area, round to the nearest tenth
The shape is a square with a right triangle in it
The height of the square would be 8
The width of the square would be 9.2
The right triangle on the longest side is 8.4
To find the area of the square, we multiply the height and width:
Area of the square = 8 * 9.2 = 73.6
To find the area of the right triangle, we use the formula:
Area of a triangle = 1/2 * base * height
Area of the right triangle = 1/2 * 9.2 * 8.4 = 38.88
Now, we add the area of the square and the right triangle together to find the total area:
Total area = 73.6 + 38.88 = 112.48
Rounded to the nearest tenth, the total area is 112.5 square units.
The radio is of a circle is 2.9 cm. Find the circumference to the nearest tenth
To find the circumference of a circle, we use the formula:
Circumference = 2 * π * radius
Given that the radius of the circle is 2.9 cm, we can plug this into the formula:
Circumference = 2 * π * 2.9
Circumference = 2 * 3.14159 * 2.9
Circumference = 18.24844
Rounded to the nearest tenth, the circumference of the circle with a radius of 2.9 cm is 18.2 cm.
The diameter of a circle is 7 in. Find the circumference to the nearest
The circumference of a circle can also be calculated using the formula:
Circumference = π * diameter
Given that the diameter of the circle is 7 inches, we can plug this into the formula:
Circumference = 3.14159 * 7
Circumference = 21.99113
Rounded to the nearest tenth, the circumference of the circle with a diameter of 7 inches is 22.0 inches.
The diameter of a circle is 13 in. Find its area to the nearest whole number.
To find the area of a circle, we use the formula:
Area = π * (radius)^2
Given that the diameter of the circle is 13 inches, the radius would be half of the diameter, which is 6.5 inches.
Plugging this radius into the formula:
Area = 3.14159 * (6.5)^2
Area = 3.14159 * 42.25
Area = 132.73225
Rounded to the nearest whole number, the area of the circle with a diameter of 13 inches is 133 square inches.
Find the Area of the figure below, composed of a rectangle and a semicirele. The radius of the circle is shown. Round to the nearest tenths place.
The circumference is 6
And we have another number 14, which is on top of the figure on the longest side
To find the area of the figure composed of a rectangle and a semicircle, we first need to determine the dimensions of the rectangle and the radius of the semicircle.
Given:
- The total circumference of the figure is 6. Since it is the sum of the lengths of the rectangle's sides plus half the circumference of the circle (which is half of the full circumference), we have:
6 = 14 + 14 + πr
6 = 28 + πr
πr = 6 - 28
πr = -22
r = -22/π
r ≈ -7
Since a radius cannot be negative, it seems there might have been some misinterpretation of the information provided, as a radius greater than 0 is expected for the semicircle.
If the radius of the semicircle is actually 7 (not negative), we can proceed with finding the area.
First, we find the width of the rectangle by subtracting the diameter of the semicircle (which is twice the radius) from the total length of 14:
Width of the rectangle = 14 - 2(7) = 14 - 14 = 0
The width of the rectangle being 0 indicates that the rectangle's width is equal to the diameter of the semicircle, making the rectangle degenerate into a line.
The area of the figure is then equal to the total area of the rectangle and the semicircle:
Area = (Area of rectangle) + (Area of semicircle)
Area = (14 * 0) + (1/2 * π * 7^2)
Area = 0 + (1/2 * 3.14159 * 49)
Area ≈ 76.969
Rounded to the nearest tenth, the area is approximately 77.0.