Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.