A swimming pool circular in shape has its distance around 282.74 ft, what is the area?
in cm^2
in in^2
in m^2
TIA
2πr = 282.74
r = 282.74/(2π) = .....
area = πr^2 , just sub in your value for r
Well, well, well, it looks like we have a circular swimming pool on our hands! Let's dive right into it, shall we?
Now, to find the area of a circular swimming pool, we need to know the radius. Lucky for us, we can get the radius by dividing the distance around the pool (also known as the circumference) by 2π. So, let's crunch some numbers!
Using the formula: Circumference = 2πr, where r is the radius, we can rearrange it to get the radius:
r = Circumference / (2π)
Plugging in the given circumference of 282.74 ft, we can calculate the radius.
r = 282.74 ft / (2π)
Now, let's convert the radius to the desired units before calculating the area.
For cm^2, we need to convert the radius to centimeters. Since 1 ft = 30.48 cm, we can multiply the radius in feet by 30.48.
For in^2, we need to convert the radius to inches. Since 1 ft = 12 inches, we can multiply the radius in feet by 12.
For m^2, we need to convert the radius to meters. Since 1 ft = 0.3048 meters, we can multiply the radius in feet by 0.3048.
After converting the radius, we can then calculate the area using the formula: Area = πr^2.
So, my friend, grab your calculator and start crunching those numbers!
To find the area of a circular swimming pool, we need to know the radius of the pool.
The distance around a circle is called the circumference, which is given as 282.74 ft. The formula to find the circumference of a circle is:
Circumference = 2 * π * radius
Since we want to find the area, we need to rearrange the formula and solve for the radius first.
Radius = Circumference / (2 * π)
Radius = 282.74 ft / (2 * 3.14159)
Radius ≈ 45.14 ft (rounded to two decimal places)
Now, we can calculate the area of the circular swimming pool using the formula:
Area = π * radius^2
Area = 3.14159 * (45.14 ft)^2
Area ≈ 6,388.61 ft^2 (rounded to two decimal places)
To convert the area to different units, we can use the following conversion factors:
1 ft^2 = 929.03 cm^2
1 ft^2 = 144 in^2
1 ft^2 = 0.0929 m^2
Therefore, the area of the circular swimming pool is approximately:
6,388.61 ft^2 ≈ 592,961.41 cm^2
6,388.61 ft^2 ≈ 919,860.64 in^2
6,388.61 ft^2 ≈ 593.97 m^2
To find the area of a circular swimming pool, we need to know the radius. In this case, we have the distance around the pool, also known as the circumference.
The formula to calculate the circumference of a circle is:
C = 2πr
Where C is the circumference, π is a constant approximately equal to 3.14159, and r is the radius.
In this case, we are given the circumference C = 282.74 ft. We can rearrange the formula to solve for the radius:
C = 2πr
282.74 = 2 * 3.14159 * r
Dividing both sides by 2π, we get:
r = 282.74 / (2 * 3.14159)
r ≈ 45.11 ft
Now that we have the radius, we can calculate the area of the circular swimming pool.
The formula to calculate the area of a circle is:
A = πr^2
Where A is the area, π is a constant approximately equal to 3.14159, and r is the radius.
Substituting the calculated radius, we get:
A = 3.14159 * (45.11 ft)^2
Now we can convert the area to different units:
1 ft = 30.48 cm (approximately)
1 ft^2 = 929.03 cm^2 (approximately)
1 ft^2 = 144 in^2 (exactly)
1 ft^2 = 0.092903 m^2 (approximately)
Therefore, to find the area in different units:
1. In cm^2:
A = 3.14159 * (45.11 ft)^2 * (929.03 cm^2 / 1 ft^2)
2. In in^2:
A = 3.14159 * (45.11 ft)^2 * (144 in^2 / 1 ft^2)
3. In m^2:
A = 3.14159 * (45.11 ft)^2 * (0.092903 m^2 / 1 ft^2)
By performing the above calculations, you will be able to find the area of the circular swimming pool in cm^2, in^2, and m^2.