Answer:
$41,330
Step-by-step explanation:
To find the cost to asphalt a circular path, first, calculate the area of the circular path:
Area of circular path = area of big circle (A1) - Area of small circle (A2)
Area of circle = πr²
Radius of big circle (R) = 145 ft
Area of big circle (A1) = 3.14*145²
= 3.14*21,025
A1 = 66,018.5 ft²
Radius of small circle (r) = 80ft
Area of small circle (A2) = 3.14*80²
= 3.14*6,400
A2 = 20,096 ft²
=>Area of path = 66,018.5 - 20,096 = 45,922.5 ft²
If 100ft = $90
45,922.5 ft = x
Cross multiply and find x (cost to asphalt the circular path)
100*x = 45,922.5*90
100x = 4,133,025
Divide both sides by 100
x = 4,133,025/100
x = $41,330.25
To the nearest dollar, $41,330 is needed to asphalt the circular path
