Respuesta :
Answer:
A = 2r²
Step-by-step explanation:
A square is a rhombus with equal-length diagonals. A square inscribed in a circle has diagonals equal to the diameter of the circle: 2r.
The area of a rhombus is half the product of the lengths of its diagonals. Hence the area of our square is ...
A = (1/2)(2r)(2r)
A = 2r²
Answer:
2
Step-by-step explanation:
r=1/2s[tex]\sqrt{2}[/tex]
2r=s[tex]\sqrt{2}[/tex]
2r/[tex]\sqrt{2}[/tex]=s remove [tex]\sqrt{2}[/tex] denominator by multiplying with [tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]
2[tex]\sqrt{2}[/tex]r/2 -- simplify , 2 cancels
s=r[tex]\sqrt{2}[/tex]
so area = (r[tex]\sqrt{2}[/tex])^2
A(r)= 2r²