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 radius 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, we first need to find the area of the rectangle and then add the area of the semicircle.
Area of rectangle:
The length of the rectangle is given as 14 and the width is equal to the diameter of the semicircle, which is equal to 2 times the radius:
Width = 2 * 6 = 12
Area of rectangle = length * width = 14 * 12 = 168
Area of semicircle:
The area of a semicircle is given by the formula A = (πr^2)/2, where r is the radius of the semicircle.
Area of semicircle = (π * 6^2) / 2
Area of semicircle = (π * 36) / 2
Area of semicircle = 18π
Total area = Area of rectangle + Area of semicircle
Total area = 168 + 18π
Using π = 3.14159, we can calculate the total area:
Total area ≈ 168 + 18 * 3.14159
Total area ≈ 168 + 56.5486
Total area ≈ 224.5
Therefore, the area of the figure is approximately 224.5 square units.
The grid u see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
The grid is 108 square units
The shaded part is in a right triangle, but it’s half of the grid
If the grid is 108 square units and the shaded part is half of the grid, then the area of the shaded triangle is:
Area of shaded triangle = 1/2 * 108
Area of shaded triangle = 54 square units
Therefore, the area of the shaded part, which is in the shape of a right triangle, is 54 square units.
What is the area of the trapezoid below?
The longest side of the shape is 13.1
The height of the shape is 8
The length of the shape is 7.4
But you can form a triangle on one side, which the height would be 8
To find the area of the trapezoid, we first need to calculate the average of the lengths of the parallel sides (the longest side and the length of the trapezoid) and then multiply this average by the height of the trapezoid.
Given:
Longest side = 13.1
Height = 8
Length = 7.4
Average of lengths = (13.1 + 7.4) / 2 = 20.5 / 2 = 10.25
Area of the trapezoid = Average of lengths * height
Area of the trapezoid = 10.25 * 8 = 82
Therefore, the area of the trapezoid is 82 square units.
What is the measure of each interior angle of the regular polygon below? If necessary, round to the nearest tenth
The shape is a decagon
To find the measure of each interior angle of a regular decagon, we can use the formula:
Interior angle of a regular polygon = (n-2) * 180 / n
Where n is the number of sides of the polygon, which in this case is 10 for a decagon.
Interior angle of decagon = (10-2) * 180 / 10
Interior angle of decagon = (8) * 180 / 10
Interior angle of decagon = 144 degrees
Therefore, each interior angle of the regular decagon measures 144 degrees.
If angle E is a corresponding angle to 31 degrees and angle D is a corresponding angle to 77 degrees. What degrees would angle F be?
Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two other lines. Corresponding angles are congruent, which means they have the same measure.
If angle E is a corresponding angle to 31 degrees and angle D is a corresponding angle to 77 degrees, then angle F, which is corresponding to angle D, would also be 77 degrees. This is because corresponding angles are equal in measure.
Find the area of KLMN. Round he answer to the nearest tenth if necessary
The shape is a rhombus
The height of the shape would be 9.2
The width of the shape would be 8
But there’s a right triangle that forms in the shape. Which the height would be 8.4