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Part 1
You want to install a 2 yd wide walk around a circular swimming pool. The diameter of the pool is 24 yd. What is the area of the walk? Use 3.14 for pi.
To find the area of the walk around the circular swimming pool, we first need to find the area of the pool and the area of the larger circle that includes the walk.
Radius of the pool = diameter / 2 = 24 yd / 2 = 12 yd
Area of the pool = πr^2 = 3.14 * 12^2 = 3.14 * 144 = 452.16 square yards
Radius of the larger circle including the walk = 12 yd + 2 yd (for the walk) = 14 yd
Area of the larger circle including the walk = πr^2 = 3.14 * 14^2 = 3.14 * 196 = 615.44 square yards
Area of the walk = Area of the larger circle - Area of the pool
= 615.44 square yards - 452.16 square yards
= 163.28 square yards
Therefore, the area of the walk around the circular swimming pool is 163.28 square yards.
(b) What is the cost per slice of the 10-in.-diameter pizza?
$
1.83 (Type a whole number or a decimal rounded to the nearest hundredth as needed.)
Part 4
How many square inches of pizza are in one slice?
enter your response here in. squared
(Type a whole number or a decimal rounded to the nearest hundredth as needed.)
To find the cost per slice of the 10-inch-diameter pizza, we first need to calculate the area of the pizza and then divide the cost by the number of equal-sized slices the pizza can be cut into.
Radius of the pizza = diameter / 2 = 10 in / 2 = 5 in
Area of the pizza = πr^2 = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches
If the cost of the pizza is $1.83 and it can be cut into 8 equal-sized slices:
Cost per slice = Cost of pizza / Number of slices = $1.83 / 8 slices = $0.22875 per slice
Therefore, the cost per slice of the 10-inch-diameter pizza is $0.23 (rounded to the nearest hundredth).
The number of square inches in one slice of pizza is 78.5 square inches, as calculated above.