A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
1 answer:
Given:
- Outer diameter = D = 80 ft
- Inner diameter = d = 40 ft
So,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
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