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By considering total area as the sum of the areas of all of its parts, we can determine the area of a figure such as the one to the right. Find the total area of the figure to the right. Use 3.14 as an approximation for π.A = ___ (units^3, units, units^2)(Type an integer or a decimal)

By Considering Total Area As The Sum Of The Areas Of All Of Its Parts We Can Determine The Area Of A Figure Such As The One To The Right Find The Total Area Of class=

Sagot :

Concept: To calculate the area of the fugure, we are going to calculate the area of the two semicircles and also calculate the area of the rectangle and then add them up together

The formula used to calculate the area of a semicircle is

[tex]\begin{gathered} A_{\text{semicircle}}=\frac{\pi r^2}{2} \\ \text{where,} \\ \pi=3.14 \\ r=1 \end{gathered}[/tex]

The formula used to calculate the area of a rectangle is

[tex]\begin{gathered} A_{\text{rectangle}}\rbrack=\text{length}\times breadth \\ \text{where,} \\ \text{length}=12 \\ \text{breadth}=1+1=2 \end{gathered}[/tex]

By substituting the values in the formulas, we will have

[tex]\begin{gathered} A_{\text{semicircle}}=\frac{\pi r^2}{2} \\ A_{\text{semicircle}}=3.14\times1^2 \\ A_{\text{semicircle}}=3.14\text{unit}^2 \end{gathered}[/tex][tex]\begin{gathered} A_{\text{rectangle}}\rbrack=\text{length}\times breadth \\ A_{\text{rectangle}}=12\times2 \\ A_{\text{rectangle}}=24\text{unit}^2 \end{gathered}[/tex]

Hence,

The area of the shape will be

[tex]=A_{\text{rectangle}}+A_{\text{semicircle}}+A_{\text{semicircle}}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} =A_{\text{rectangle}}+A_{\text{semicircle}}+A_{\text{semicircle}} \\ =24\text{unit}^2+3.14\text{unit}^2+3.14\text{unit}^2 \\ =30.28\text{units}^2 \end{gathered}[/tex]

Hence,

The final answer is = 30.28unit²

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