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How to Calculate Sphere Surface Area: Solved Examples & Steps

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Formula: A = 4 × π × r²
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Steps to Calculate Surface Area

  1. Identify radius $. (If diameter $ is given, = d / 2$).
  2. Square the radius: ^2 = r imes r$.
  3. Multiply by 4: $4 imes r^2$.
  4. Multiply by Pi: $4 imes \pi imes r^2$.

Example: For a sphere with radius = 7 ext{ cm}$:

  • Square radius: $7^2 = 49$.
  • Multiply by 4: $4 imes 49 = 196$.
  • Exact surface area: $196\pi ext{ cm}^2$.
  • Decimal surface area: $196 imes 3.14159265 \approx 615.75 ext{ cm}^2$.

Common Questions About How to Calculate Sphere Surface Area: Solved Examples & Steps

A = 4π(7)² = 196π ≈ 615.75 cm².
Because surface area measures a two-dimensional boundary surface, requiring square units (cm², m², in²).

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