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Answer:
Step-by-step explanation:
1.Approach
To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.
2.Find the area of the larger circle
The formula to find the area of a circle is the following,
Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. () represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,
3.Find the area of the smaller circle
To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.
8 ÷2 = 4
Radius = 4
Substitute into the formula,
4.Find the area of the shaded region
Subtract the area of the smaller circle from the area of the larger circle.
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.