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klio [65]
3 years ago
7

The surface area, A, of a sphere in terms of its radius, r, is given by A(r) = 4πr2. Express r as a function of A.

Mathematics
2 answers:
monitta3 years ago
3 0

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 )


Volgvan3 years ago
3 0

Answer:

The expression of r in terms of A is:

r=\sqrt{\dfrac{A}{4\pi}}

Step-by-step explanation:

We are given the surface area, A, of a sphere in terms of its radius, r, as:

A(r) = 4πr²

A=4\pi\ r^2

⇒ r^2=\dfrac{A}{4\pi}

⇒ r=\sqrt{\dfrac{A}{4\pi}}

Hence, the expression of r in terms of A is:

r=\sqrt{\dfrac{A}{4\pi}}

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