Question

(a) use the calculator to find the area and circumference of the lawn. use 3.14 for π in your calculations, and do not round your answers. make sure to include the correct units. area: circumference: (b) fertilizer will be applied to the lawn. which measure would be used in finding the amount of fertilizer needed? circumference area (c) the lawn will be surrounded by tape. which measure would be used in finding the amount of tape needed? circumference area

Explanation:

Step1: Recall area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius. Given diameter $d = 52$ ft, then $r=\frac{d}{2}=\frac{52}{2}=26$ ft. Substitute $r = 26$ ft and $\pi=3.14$ into the formula: $A=3.14\times26^{2}=3.14\times676 = 2122.64$ $ft^{2}$.

Step2: Recall circumference formula

The formula for the circumference of a circle is $C=\pi d$. Substitute $d = 52$ ft and $\pi = 3.14$ into the formula: $C=3.14\times52=163.28$ ft.

Step3: Determine fertilizer - related measure

Fertilizer is spread over the surface of the lawn, so the area is used to find the amount of fertilizer needed.

Step4: Determine tape - related measure

Tape is placed around the edge of the lawn, so the circumference is used to find the amount of tape needed.

Answer:

Area: $2122.64$ $ft^{2}$
Circumference: $163.28$ ft
(b) Area
(c) Circumference