Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
<u>According to the Figure Given:</u>
Total Horizontal Distance = 14 in
Length = 6 in
<u>To Find :</u>
The Area of the composite figure
<u>Solution:</u>
Firstly we need to find the area of Rectangular part.
So We know that,
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
- Since Length = 6 in ;
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
- Total Horizontal Distance= 14
- Radius = 6
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
- Length = 6
- Breadth = 8
Then, We need to find the area of Quarter circle :
We know that,
Now Substitute their values:
- r = radius = 6
- π = 3.14
Solve it.
Now we can Find out the total Area of composite figure:
We know that,
So Substitute their values:
= 48
= 28.26
Solve it.
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
I hope this helps!