Question

the figure below shows a circular lawn. its diameter is 34 ft. (a) use the calculator to find the circumference and area of the lawn. use 3.14 for π in your calculations, and do not round your answers. make sure to include the correct units. circumference: area:

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = \pi d$, where $d$ is the diameter. Given $d = 34$ ft and $\pi=3.14$.
$C=3.14\times34$

Step2: Calculate the circumference

$C = 106.76$ ft

Step3: Recall area formula

The formula for the area of a circle is $A=\pi r^{2}$, and since $r=\frac{d}{2}$, with $d = 34$ ft, then $r = 17$ ft. So $A = 3.14\times17^{2}$.

Step4: Calculate the area

$A=3.14\times289 = 907.46$ $ft^{2}$

Answer:

Circumference: $106.76$ ft
Area: $907.46$ $ft^{2}$