Respuesta :
r =√ ( A / 4π )
given A = 4πr² ( isolate r² by dividing both sides by 4π )
A / 4π = r² ( take the square root of both sides )
r =√( A / 4π )
Answer:
The expression of r in terms of A is:
[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
Step-by-step explanation:
We are given the surface area, A, of a sphere in terms of its radius, r, as:
A(r) = 4πr²
[tex]A=4\pi\ r^2[/tex]
⇒ [tex]r^2=\dfrac{A}{4\pi}[/tex]
⇒ [tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
Hence, the expression of r in terms of A is:
[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
