The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 fe
et. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone?
1 answer:
Answer:
178.98 sq. feet
Explanation:
The path and the garden has been shown in the figure below. The green area is the garden and the area in brown is the path.
It has been given that,
Radius of garden = 8 feet
So, the area of garden = 3.14 × 8 × 8 = 200.96 sq. feet
The total radius of the land including garden and path = 8 + 3 = 11 feet
So, the total are of land including garden and path = 3.14 × 11 × 11 = 379.94 sq. feet
So, the area of path = Total area of the land - area of garden
Area of path = 379.94 - 200.96 = 178.98 sq. feet
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Answer: 12
Explanation.
This problem was recently posted and deals with the conversion of units,so I give the same answer.
You need to convert the 9 quibs of skvarnick to sleps, to determine how many sleps you have.
The conversion of units is easily undertaken once you build your conversion factors.
Conversion factors are ratios (fractions) equivalent to one, which permits use the identity property of the multiplication to change one unit to a different equivalent one.
Remember that the identity property of multiplication states that any amount multiplied by 1 remains unchanged, i.e.
Then, build your conversion factor from the definitions given:
- 12 sleps is equal to 9 quibs.
- 12 sleps = 9 quibs
- in virtue of the division property of equality, you can divide both sides by 12 sleps and get:
1 = 12 sleps / 9 quibs ← conversion factor
Now you can multiply the amount 9 quibs by the conversion factor, which is equal to 1, to find the equivalent amount of sleps:
- identity property: 9 quibs = 9 quibs × 1
- substitution property: 9 quibs = 9 quibs × 12 sleps/ 9 quibs
You can see that the unit quibs appear in the numerator and the denominator so it cancels out, and the result will be in sleps.
So, all you have to do now is the operations with the numbers:
9 quibs = (9 × 12 / 9) sleps = 12 sleps ← answer