Answer:
[tex]A=806.56\pi\ cm^2[/tex]
Step-by-step explanation:
Given that,
The diameter of a leather ball, d = 28.4 cm
Radius, r = 14.2 cm
We need to find the area of the piece of leather used on the surface of the ball. The surface area of the ball is given by :
[tex]A=4\pi r^2\\\\A=4\times \pi\times (14.2)^2\\\\A=806.56\pi\ cm^2[/tex]
So, the area of the piece of leather is [tex]806.56\pi\ cm^2[/tex]. The correct option is (b).