R^2sin(theta)d(theta)d(phi)(r-hat)
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The normal vector to the surface is a radius at the point of interest.
Area is NOT a vector.
There is NO equation for the area of a sphere Assuming you mean surface area, the surface area of a sphere of radius r is 4πr^2.
Area of a sphere = 4(pi)r2
Surface area of a sphere = 4πr2