PLS HELP!! Define a variable and write an equation to model each
situation. Then solve.
13. Farming You have 100 ft of fencing to build
a
circular sheep pen.
a. What is the diameter of the largest pen you can
build? Use 3.14 for
b. What is the area of the largest pen you can fence?

14.Map The scale on a map is 1 in. : 25 mi. You
measure 6.5 in. between two towns. What is the
actual distance?

Recall that the term "circumference" is a special name for the distance or perimeter around a circle. Think "circle fence" which sounds a bit like "circumference", at least if you say it fast enough. That's how I remember it.

We're given 100 feet of fencing and we need to find the diameter of the circle that can be formed with this amount of fencing. We'll plug C = 100 into the circumference formula below and solve for d.

C = pi*d

100 = 3.14d

3.14d = 100

d = 100/(3.14)

d = 31.84713

The diameter of this circle is roughly 31.84713 feet

=========================================================

Problem 13, part B

Cut the diameter we just found in half to get

r = d/2

r = (31.84713)/2

r = 15.923565

Now use this radius value to find the area of this circle

A = pi*r^2

A = 3.14*(15.923565)^2

A = 796.178156

The area of the circle is roughly 796.178156 square feet

=========================================================

Problem 14

(1 inch)/(25 miles) = (6.5 inches)/(x miles)

1/25 = (6.5)/x

1*x = 25*6.5

x = 162.5

Therefore, 6.5 inches on the map correspond to 162.5 miles