Answer:
x = 3 feet
Step-by-step explanation:
The width of the sidewalk , x, is the difference of the radii of the outer edge of the sidewalk and the garden.
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
given the circumference of the outer edge of the sidewalk is 30π feet, then
2πr = 30π ( divide both sides by 2π )
r = [tex]\frac{30\pi }{2\pi }[/tex] = 15 feet
given the circumference of the garden is 24π feet , then
2πr = 24π ( divide both sides by 2π )
r = [tex]\frac{24\pi }{2\pi }[/tex] = 12 feet
The width of the sidewalk = x = 15 - 12 = 3 feet
