Method #1 – Surface area from the radius
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Formula – How to calculate the surface area of a sphere from the radius
Surface Area = 4 x π x Radius2
Example
A sphere has a radius of 10
Surface Area = 4 x π x 102
Surface Area = 4 x 3.14159 x 100
Surface Area = 1256.63
Method #2 – Surface area from the volume
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Formula – How to calculate the surface area of a sphere from the volume
Step 1: Convert volume to radius
Radius = 3√((3 x Volume) ÷ (4 x π))
Step 2: Convert radius to surface area
Surface Area = 4 x π x Radius2
Example
A sphere has a volume of 10
Radius = 3√((3 x 10) ÷ (4 x π))
Radius = 3√((3 x 10) ÷ (4 x 3.14159))
Radius = 3√(30 ÷ 12.56636)
Radius = 3√(2.38733)
Radius = 3√(2.38733)
Radius = 1.33651
Surface Area = (4/3) x π x 1.336512
Surface Area = 1.333333 x 3.14159 x 1.78626
Surface Area = 7.48226
Method #3 – Surface Area from the diameter
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Formula – How to calculate the surface area of a sphere from the diameter
Step 1: Convert diameter to radius
Radius = Diameter ÷ 2
Step 2: Convert radius to surface area
Surface Area = 4 x π x Radius2
Example
A sphere has a diameter of 10
Radius = 10 ÷ 2 = 5
Surface Area = 4 x π x 52
Surface Area = 4 x 3.14159 x 25
Surface Area = 314.159
Method #4 – Surface Area from the circumference
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Formula – How to calculate the surface area of a sphere from the circumference
Step 1: Calculate the Radius
Radius = Circumference ÷ π ÷ 2
Step 2: Calculate the Surface Area
Surface Area = 4 x π x Radius2
Example
A sphere has a circumference of 100
Radius = 100 ÷ π ÷ 2
Radius = 100 ÷ 3.14159 ÷ 2
Radius = 15.915508
Surface Area = 4 x π x 15.9155082
Surface Area = 4 x 3.14159 x 253.30339
Surface Area = 3183.10159