Answer:
Part 1) 
Part 2) Option b
Part 3) As n increases, ns get closer to
Part 4) Option c 
Part 5) Option b. 
Step-by-step explanation:
Part 1) What is the area of a circle with a diameter of 12.6 in.?
we know that
the area of a circle is equal to
we have
-----> the radius is half the diameter
substitute the values
Part 2) Which explanation can be used to derive the formula for the circumference of a circle?
First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately π times.
Use this relationship to write an equation showing the ratio of circumference to diameter equaling π
so

Rearrange the equation to solve for the circumference

Substitute the diameter for 2 times the radius

Part 3) we know that
If n increases
then
the product ns get closer to the circumference of the circle
so
the circumference of a circle is equal to
therefore
As n increases, ns get closer to
Part 4) What is the area of a circle whose radius is 4 ft?
we know that
the area of a circle is equal to

we have
substitute the values

Part 5) The circumference of a circle is 7π m.
What is the area of the circle?
we know that
The circumference of a circle is equal to

we have
substitute and solve for r


Find the area of the circle
the area of a circle is equal to

substitute
the area of a circle is equal to
