Question

For a particular 4 leaf clover, the highway had to be compacted on the south side making the circles two different sizes. The two circles on the north of the highway have a radius of 121 feet and the two on the south side have a radius of 103 feet. Calculate the total area of grass seed needed for these four circles.

Answer 1

To calculate the total area of grass seed needed we calculate the area of each circle separately and then add them together.

since there are 2 types of circle calculate for a circle of radius 121 ft and for another with radius 103 ft.

$\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(103)^2 \\ A=10609\pi \end{gathered}$$\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(121)^2 \\ A=14641\pi \end{gathered}$

add the 2 areas together

$\begin{gathered} A=10609\pi+14641\pi \\ A=25250\pi \end{gathered}$

Since ther are 2 circles from each one, multiply the result by 2.

$\begin{gathered} A_T=2\cdot25250\pi \\ A_T=50500\pi \end{gathered}$

The area needed for the grass seed is 50500pi square feet.