Answer:
Cost of slate path using π: $980.18 (nearest cent)
Cost of slate path using π = 3.14: $979.68
Step-by-step explanation:
Formula
Area of a circle = πr² (where r is the radius)
First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.
Area of larger circle = π · 8² = 64π ft²
Area of pond (smaller circle) = π · 4² = 16π ft²
⇒ area of slate path = 64π - 16π = 48π ft²
If the cost of the slate is $6.50 per ft² then,
Cost of slate path using π:
⇒ 48π × $6.50 = $980.18 (nearest cent)
Cost of slate path using π = 3.14:
⇒ 48 × 3.14 × $6.50 = $979.68
