The radius of a moon is 747 miles. use the formula for the radius r of a sphere given it's surface area A, r=√(A/4π) , to find the surface area of the moon. Please help ASAP!!!!! :(
solve the equation for A , then substitute in the value for r
squaring ... r^2 = A / (4 π)
multiplying by 4π ... 4 π r^2 = A
Sure, I can help you find the surface area of the moon using the given formula.
First, we need to know the value of the radius of the moon, which you have mentioned is 747 miles.
Now, we can substitute the value of the radius into the formula for the surface area of a sphere:
A = 4πr^2
Substituting the given value of the radius (r = 747) into the formula:
A = 4π(747)^2
Calculating the value inside the parentheses:
A = 4π(558,009)
Now, multiply 4π by 558,009:
A ≈ 2,232,036π
So, the surface area of the moon is approximately 2,232,036π square miles.
It's important to note that since the given value for the moon's radius is in miles, the resulting surface area will also be in square miles.
No problem! I'm here to help.
To find the surface area of the moon using the given formula, we'll need to substitute the radius into the equation:
r = 747 miles
Now let's calculate the surface area of the moon:
Surface area (A) = 4πr^2
Substituting the value of r, we have:
A = 4π(747 miles)^2
Now we can calculate the surface area by following these steps:
1. Calculate the square of the radius: (747 miles)^2 = 556,009 miles^2
2. Multiply the result by 4π: 556,009 miles^2 * 4π ≈ 8,827,282π.
So, the surface area of the moon is approximately 8,827,282π square miles.
Please note that the answer may be rounded depending on the level of precision required.