Question

what is the surface area of a sphere whose great circle has an area of 30 square yards

Answer 1

To remember:

• Statement. The surface area of a sphere is four times the area of its great circle.

• Formula. If p be the area of the great circle of a sphere, then the surface area of the sphere be 4p.

Solution:

• Given, the area of the great circle is 30 sq. yards.

• Then the surface area of the sphere is

• = 4 * 30 sq. yards

• = 120 sq. yards

Answer: The surface area of the sphere whose great circle has an area of 30 square yards is 120 square yards.

Answer 2

Step-by-step explanation:

Given what is the surface area of a sphere whose great circle has an area of 30 square yards  

• Given surface area of a sphere whose great circle has an area 30 square yards.
• Now area of sphere is 4 times the area of circle.
•     Therefore area of circle = π r^2  
•        Area of sphere = 4 π r^2
•  So area of sphere = 4 Area of circle
•   So area of sphere = 4 x 30
•                                  = 120

Therefore area of sphere will be 120 square yards