The circumference of a great circle of a sphere is ##8pi## meters. What is the surface area of the sphere?

≈ 201.06 square units

The formula for calculating the surface area (A) of a sphere is.

##color(red)(|bar(ul(color(white)(a/a)color(black)(A=4pir^2)color(white)(a/a)|))## where r is the radius.

Given the circumference we can find r , as

##C=2pirrArrr=C/(2pi)##

here ##C=8pirArrr=(8pi)/(2pi)=4##

and ##A=4pixx4^2=64pi≈201.06" square units"##