N0TE : Pls answer/respond correctly .
Problem :
The total surface area of a sphere is described as for its shadow, can you prove this statement using this figures?
Kindly check the picture
• a circle can be unwrapped to form a triangle. a circle that has a radius r can unwrapped into a right triangle with a base of [tex] \sf {2 \pi r}[/tex]
and the height equal to the radius .
what figure can be formed if you try to assemble this right triangle what will be your formula to find the total surface area of a sphere. explain your answer .
Answers & Comments
Total surface area of a sphere
=![\sf {2r \: × \: 2 \pi r} \sf {2r \: × \: 2 \pi r}](https://tex.z-dn.net/?f=%20%5Csf%20%7B2r%20%5C%3A%20%C3%97%20%5C%3A%202%20%5Cpi%20r%7D)
=![\sf \underline{4 \pi r ^2} \sf \underline{4 \pi r ^2}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cunderline%7B4%20%5Cpi%20r%20%5E2%7D)
Note : Sorry for my handwriting.