Fasttt
a square has a side that measures 5.5 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth.

38.47 units2
94.99 units2
153.86 units2
379.94 units2

answer:

38.47 units²

step-by-step explanation:

calculate the perimeter of the circle. 5.5 + 5.5 + 5.5 + 5.5 = 22 or 5.5 * 4 = 22.

the circumference of the circle is the same as the perimeter of the square.

now you have to solve for the radius to find the area.

c = circumference   or 22         r = radius         π = pi or 3.

round answer to nearest hundredth.

c = 2πr

22 = 2πr

divide 2π from both sides.

22/2π = r

22/6.   = r

3.   = r

now calculate the area.

a = area       r = radius or 3.50         π = pi or 3.

a =   πr²

a =   π * 3.50²

a =   π * 12.25

a = 38.47 units²

can i see the following ?

step-by-step explanation: