Question

A circular field has a area of 14400 square feet. a. What is the radius of the field?b. what is the diameter of the feild?c. what is the circumference of the feild to the nearest foot?

Answer 1

Area = 14400 ft2

a)

Equation

`\begin{gathered} 14400\text{ = }\pi r^2 \\ 14400=3.14r^2 \end{gathered}`

`\begin{gathered} \text{ r = 14400 / 3.1416} \\ \text{ r = 4583.65} \\ \text{ r = 67.7 ft} \end{gathered}`

b)

diameter = 67.7 x 2

= 135.4 ft

c) Circumference = 2pi r

= 2(3.1416)(67.7)

= 425 ft