If the diameter of a circular pond is 50 m and the width is 2 m then what is the area of the pathway
Assuming that, please proofread what you post
r = 25
R = 25+2 = 27
so
pi(27^2-25^2)
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To find the area of the pathway around the circular pond, we need to subtract the area of the pond from the area of the larger circle formed by the pathway.
1. Calculate the radius of the pond:
The diameter of the circular pond is given as 50 m. Since the diameter is twice the radius, the radius of the pond is 50 m ÷ 2 = 25 m.
2. Calculate the radius of the larger circle formed by the pathway:
The width of the pathway is given as 2 m, which corresponds to an increase of 2 m on each side of the pond. So, the radius of the larger circle is the sum of the radius of the pond and the width of the pathway: 25 m + 2 m = 27 m.
3. Calculate the area of the larger circle:
The formula to calculate the area of a circle is A = πr^2, where A represents the area and r represents the radius. Plugging in the value, we get:
A = π(27 m)^2 ≈ 3.14 × 27^2 ≈ 3.14 × 729 ≈ 2291.86 m^2 (rounded to two decimal places).
4. Calculate the area of the pond:
Using the same formula, we can find the area of the pond:
A = π(25 m)^2 ≈ 3.14 × 25^2 ≈ 3.14 × 625 ≈ 1962.5 m^2 (rounded to one decimal place).
5. Calculate the area of the pathway:
To find the area of the pathway, we subtract the area of the pond from the area of the larger circle:
Area of pathway = Area of larger circle - Area of pond
= 2291.86 m^2 - 1962.5 m^2
≈ 329.36 m^2 (rounded to two decimal places).
Therefore, the area of the pathway around the circular pond is approximately 329.36 square meters.