To find the radius of a sphere when you have its surface area, you can use the formula for the surface area of a sphere, which is given by:

A = 4πr²

where A is the surface area and r is the radius of the sphere.

To isolate the radius (r), follow these steps:

1. Start with the surface area formula: A = 4πr²
2. Divide both sides by 4π to solve for r²:
   r² = A / (4π)
3. Next, take the square root of both sides to find r:
   r = √(A / (4π))

Now you can plug in the value of the surface area (A) into this final formula to calculate the radius of the sphere. Here’s an example:

If the surface area of the sphere is 50 square units, you would calculate the radius like this:

• r = √(50 / (4π))
• r = √(50 / (4 * 3.14))
• r = √(50 / 12.56)
• r = √(3.9789)
• r ≈ 1.9946 units

This gives you the radius of the sphere based on the given surface area. Remember to use the value of π as accurately as required for your calculations, whether that’s 3.14 or a more precise value if needed.