To determine the surface area of a sphere, we use the formula for the surface area, which is given by:
[tex]\[ A = 4 \pi r^2 \][/tex]
where:
- [tex]\( A \)[/tex] is the surface area.
- [tex]\( \pi \)[/tex] is approximately 3.14.
- [tex]\( r \)[/tex] is the radius of the sphere.
Given that the radius of the Gaelic football is 5 inches, we can substitute these values into the formula:
[tex]\[ A = 4 \times 3.14 \times (5)^2 \][/tex]
Step-by-step:
1. Calculate the square of the radius:
[tex]\[ (5)^2 = 25 \][/tex]
2. Multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ 3.14 \times 25 = 78.5 \][/tex]
3. Finally, multiply by 4 to get the total surface area:
[tex]\[ 4 \times 78.5 = 314 \][/tex]
Therefore, the surface area of the ball used in Gaelic football is:
[tex]\[ 314 \text{ square inches} \][/tex]
So the correct answer is:
[tex]\[ \boxed{314 \text{ in}^2} \][/tex]
