Question

In a park, a sidewalk is built around the edge of a circular garden as shown below. The sidewalk is 5 feet wide, and the garden measures 20 feet across. Which measurement is closest to the circumference of the outer edge of the sidewalk?
A.
75ft

B.
90ft

C.
30ft

D.
700ft

Answer 1

Answer:

B.  90ft

Step-by-step explanation:

-The diameter of the outer edge will be equivalent to the garden's diameter plus twice the sidewalk's width:

$D=D_g+2W_s\\\\=20+2\times5\\\\=30\ ft$

#The outer circumference can then be calculated as:

$C=\pi D\\\\=30\PI\\\\=94.25\ ft$

Hence, the measurement closest to this circumference value is 90 ft