The circumference of a circle is 4x3.14 m^2n^4 units. What is the area of the circle?

A.4m^4 n^16 square units
B. 4x3.14^2 m^4 n^8 square units
C. 4x3.14 m^4 n^8 square units
D. 4x3.14 m^4 n^16 square units

Question

The circumference of a circle is 4x3.14 m^2n^4 units. What is the area of the circle?

A.4m^4 n^16 square units
B. 4x3.14^2 m^4 n^8 square units
C. 4x3.14 m^4 n^8 square units
D. 4x3.14 m^4 n^16 square units

anonymous · Answer

2 x 3.14 x r = 2 x 3.14 x 2m^2n^4 
so 
r = 2m^2n^4 
area = 3.14 * r^2 = 3.14 * (2m^2n^4 )^2
= 3.14 x 4m^4n^8

C. is correct