A walkway is formed by four semi circles. The diameter of the inner semi circles is 14 feet. The width between the outer and inner semicircles is 2 feet. Find the area of the walkway. Use 3.14 as an approximation for pi.
apparently you either did not read, or did not like my work on your previous posting.
So, just what is your question? You have presented some data, but don't say what it is you want to know!
You might also indicate how the semi-circles are arranged. Just in a long snaky shape, or something else?
To find the area of the walkway, we need to subtract the area of the inner semi circles from the area of the outer semi circles.
First, let's calculate the radius of the inner semi circles. The diameter is given as 14 feet, so the radius is half of that, which is 14/2 = 7 feet.
Next, we need to find the radius of the outer semi circles. The width between the outer and inner semi circles is given as 2 feet, so the radius of the outer semi circle would be the radius of the inner semi circles plus this width. Therefore, the radius of the outer semi circles is 7 + 2 = 9 feet.
Now, let's calculate the area of the inner semi circles. The formula to calculate the area of a circle is A = πr^2. Using the given approximation of pi as 3.14, we can calculate the area of each inner semi circle:
A_inner = 3.14 * (7^2) = 3.14 * 49 = 153.86 square feet
Since there are four inner semi circles, we need to multiply the area of each by 4:
Total area of inner semi circles = 153.86 * 4 = 615.44 square feet
Now, let's calculate the area of the outer semi circles:
A_outer = 3.14 * (9^2) = 3.14 * 81 = 254.34 square feet
Again, since there are four outer semi circles, we need to multiply the area of each by 4:
Total area of outer semi circles = 254.34 * 4 = 1017.36 square feet
Finally, to find the area of the walkway, we subtract the area of the inner semi circles from the area of the outer semi circles:
Area of walkway = Total area of outer semi circles - Total area of inner semi circles
= 1017.36 - 615.44
= 401.92 square feet.
Therefore, the area of the walkway is 401.92 square feet.