22kindlekyle 22kindlekyle
  • 07-05-2020
  • Mathematics
contestada

The circumference of a great circle of a sphere is 44π. Find the Surface Area of the sphere.

Respuesta :

thaovtp1407
thaovtp1407 thaovtp1407
  • 12-05-2020

Answer:

1936 π square units

Step-by-step explanation:

Given the information:

The circumference of a great circle of a sphere is 44π.

As we know the formula used to find a circle's circumference is:

C = 2πr , where r is the radius of the circle

In this situation, we know C = 44π

<=> 2πr  = 44π

<=> r = 22 units

Hence, the Surface Area of the sphere

S.A = 4π[tex]r^{2}[/tex]

= 4π[tex]22^{2}[/tex]

= 1936 π square units

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