Mathematics, 28.01.2020 07:31 luceridiaaz

Asemi-circle sits on top of a rectangle to form the figure below. find its area and perimeter. use 3.14 for ππ .. 4 in l, base 6in

Asemi-circle sits on top of a rectangle to form the figure below. find its area and perimeter. use 3

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Answer from: mya1318

The area of the given figure is 38.13 in² and its perimeter is 23.42 in.

First, we will determine the area of the semicircle,

Area of a semicircle = Half area of a circle

Area of a circle = $\pi r^{2}$

∴ Area of semicircle = $\frac{1}{2}\pi r^{2}$

Where r is the radius

From the diagram, the base of the figure (length of the rectangle) equals the diameter of the semicircle

∴ diameter = 6 in.

But

$radius = \frac{diameter}{2}$

∴ $radius = \frac{6}{2}$

r = 3 in.

Now, from

Area of semicircle = $\frac{1}{2}\pi r^{2}$

Area of the semicircle = $\frac{1}{2} \times 3.14 \times 3^{2}$

Area of the semicircle = $1.57 \times 9$

Area of the semicircle = 14.13 in².

For the rectangle,

Area of rectangle = $length \times width$

Length = 6 in.

and the width = 4 in.

∴ Area of the rectangle = 6 × 4

Area of the rectangle = 24 in².

Now, for the area of the figure,

Area of the figure = Area of the semicircle + Area of the rectangle

∴ Area of the figure = 14.13 in². + 24 in².

Area of the figure = 38.13 in².

For the perimeter of the figure,

Perimeter is sum of all sides

∴ Perimeter of the figure = Width of rectangle + Length of rectangle + Width of rectangle + length of the half circumference

First, we will determine the length of the half circumference,

Length of the half circumference = $\frac{1}{2}\times2\pi r = \pi r$

Length of the half circumference = 3.14 × 3

Length of the half circumference = 9.42 in.

From

Perimeter of the figure = Width of rectangle + Length of rectangle + Width of rectangle + length of the half circumference

∴ Perimeter of the figure = 4 in. + 6 in. + 4 in. + 9.42 in.

Perimeter of the figure = 23.42 in.

Hence, the area of the figure is 38.13 in² and its perimeter is 23.42 in.

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Asemi-circle sits on top of a rectangle to form the figure below. find its area and perimeter. use 3

Answer from: kingsqueen883

Check the picture below.

Answer from: Quest

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

Answer from: Quest

5x+10 is the correct one

hope this

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