Answer:
The surface area of the sphere is [tex]86,525.84\ yd^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of a sphere is equal to
[tex]SA=4\pi r^{2}[/tex]
step 1
Find the radius of the sphere
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=521.24\ yd[/tex]
substitute and solve for r
[tex]521.24=2(3.14)r[/tex]
[tex]r=521.24/6.28=83\ yd[/tex]
step 2
Find the surface area of the sphere
substitute the values
[tex]SA=4(3.14)(83^{2})=86,525.84\ yd^{2}[/tex]
