What is the diameter of a wheel whose area is 264 square inches?
pi(r^2) = 264
r^2 = 264/pi
r = √(264/pi)
use your calculator to find r, then double it to find the diameter
To find the diameter of a wheel given its area, we need to know the formula for calculating the area of a circle and then rearrange it to solve for the diameter.
The formula for the area of a circle is given by:
Area = π * r^2
where "r" represents the radius of the circle.
To find the diameter, we need to double the radius:
Diameter = 2 * r
Now, let's solve for the diameter using the given area of 264 square inches.
1. Rearrange the formula for the area to isolate the radius (r):
Area = π * r^2
Divide both sides by π:
Area / π = r^2
2. Take the square root of both sides to get the radius (r):
√(Area / π) = r
3. Calculate the radius using the given area:
√(264 / π) = r
4. Double the radius to find the diameter:
Diameter = 2 * r
Substituting the value of r:
Diameter = 2 * √(264 / π)
Now, we can calculate the diameter using a calculator or a software program.