Question

The circumference of a circle is 16πw⁴.

Derive an expression for the area in terms of pi and w

Answer 1

A = Pi (8 w**4)**2

Explanation:

C = 16 Pi w**4 (given)

C = 2 Pi R (stand forula)

So then find R in terms of w by settting C = C from above

2 Pi r = 16 Pi w**4

2R = 16 w**4

R = 8 w**4

SO

A = Pi R**2

A = Pi (8 w**4)**2