Surface area of a sphere
The surface area of a sphere is the total area of its outer curved surface.
Practice This ConceptMain explanation
Teacher explanation
A sphere has no flat base or edges. Every point on the surface is equally distant from the center, so the entire outside is one smooth curved surface. Because there is no separate base, the formula is simply based on the radius alone.
Example
A sphere of radius 6 cm has surface area 4πr² = 4π × 36 = 144π cm², which is 452.57 cm² approximately.
Simple analogy
Sphere surface is four times the circle area.
Common confusion
Students often use 2πr² or treat the sphere like a hemisphere or cylinder.
Exam tip
For any sphere, remember that only the radius is needed: 4πr².
Answer writing and exam use
1-mark use
Write the exact meaning of surface area of a sphere in one clean line.
2-mark use
Define surface area of a sphere and add one example or condition.
3-mark use
Explain surface area of a sphere, show the method or example, and mention the common mistake.
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