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if the great circle circumference of a sphere is 16 pi yards, find its surface area.

If The Great Circle Circumference Of A Sphere Is 16 Pi Yards Find Its Surface Area class=

Sagot :

[tex]\text{Circumference of a sphere = 16}\pi[/tex][tex]\text{Surface area of a sphere = 4}\pi r^2[/tex][tex]\begin{gathered} \text{Circumference = 16}\pi \\ Fi\text{ nd the radius r from the circumference} \\ 2\pi r\text{ = 16}\pi \\ \text{Divide through by 2}\pi. \\ \frac{2\pi r}{2\pi}\text{ = }\frac{16\pi}{2\pi} \\ r\text{ = 8} \end{gathered}[/tex]

Next, find the surface area.

[tex]\begin{gathered} \text{Surface area = 4}\pi r^2 \\ \text{ = 4}\pi\text{ }\times8^2 \\ \text{ = 4}\pi\text{ x 64} \\ \text{ = 256}\pi yd^2 \end{gathered}[/tex]