Question

the owner of a minigolf course is replacing the artificial grass on a portion of the course. the area to be replaced is shown in the diagram. what square footage of artificial grass is needed to cover this portion of the course? 18 ft 4 ft 6 ft 8π + 180 16π + 180 8π + 228 16π + 228

Explanation:

Step1: Calculate area of rectangle

The rectangle has length $18$ ft and width $10$ ft (since $6 + 4$). Area of rectangle $A_{rect}=l\times w=18\times10 = 180$ square - feet.

Step2: Calculate area of semi - circle

The semi - circle has a radius $r = 4$ ft. Area of a full - circle is $A=\pi r^{2}$, so area of semi - circle $A_{semicircle}=\frac{1}{2}\pi r^{2}=\frac{1}{2}\pi\times4^{2}=8\pi$ square - feet.

Step3: Calculate total area

Total area $A = A_{rect}+A_{semicircle}=8\pi + 180$ square - feet.

Answer:

$8\pi + 180$