As you landscape a 4 leaf clover intersection, you will need to buy enough grass seed to cover all 4 circles. Each of the circles has the same diameter: 37 meters. Calculate the total area of all grass seed needed to cover all 4 circles.
since for one circle, A = πr^2 = 1/4 πd^2 then for 4 circles,
A = πd^2 = π * 37^2 = ____ m^2
To calculate the total area of grass seed needed to cover all 4 circles in the 4 leaf clover intersection, we need to find the individual area of each circle and then add them together.
The formula to calculate the area of a circle is given by:
Area = π * (radius)^2
In this case, the diameter of each circle is given as 37 meters. The radius of a circle is half of its diameter, so the radius of each circle would be:
Radius = 37 meters / 2 = 18.5 meters
Now, let's calculate the area of one circle using the formula:
Area of one circle = π * (18.5 meters)^2
To find the total area of all 4 circles, we multiply the area of one circle by 4:
Total area = 4 * (π * (18.5 meters)^2)
Now, let's calculate the total area using this formula:
Total area = 4 * (3.14 * (18.5 meters)^2)
= 4 * (3.14 * 342.25 meters^2)
= 4 * 1075.045 meters^2
= 4300.18 meters^2
Hence, the total area of grass seed needed to cover all 4 circles in the 4 leaf clover intersection is approximately 4300.18 square meters.
To calculate the total area of all four circles in the 4 leaf clover intersection, you can calculate the area of one circle and then multiply it by 4.
The formula to calculate the area of a circle is:
Area = π * r^2
Given that the diameter of each circle is 37 meters, we can calculate the radius (r) by dividing the diameter by 2:
r = 37/2 = 18.5 meters
Now, we can calculate the area of one circle:
Area of one circle = π * (18.5^2) = 1073.15 square meters
Since there are four circles, the total area required for the grass seed is:
Total area = 1073.15 * 4 = 4292.6 square meters
Therefore, you will need enough grass seed to cover an area of 4292.6 square meters to landscape the 4 leaf clover intersection.