Mack needs to buy fencing to surround his circular garden. If his garden is 30 feet across and fencing cost $4.50 per foot, how much will it cost to fence in Mark's garden?
If the radius if of a circle is 4 feet, what is its circumference ?
Ben ran 10 times around a circular track. If the total distance he ran was 8 miles, what was the diameter of the track?
If carpet cost $5 per square yard, what would it cost to carpet a room that is 5 yards wide and 22 yards log?
If you wanted to carpet a circular room that is 20 feet across and carpet cost $3.50 per square foot , how much money would you need?
To calculate the cost of fencing Mack's circular garden, we need to find the circumference of the garden and then multiply it by the cost per foot.
Step 1: Find the circumference of the garden.
Circumference = 2 * π * radius
Given radius = 30 feet / 2 = 15 feet
Circumference = 2 * 3.14 * 15
Circumference = 94.2 feet (rounded to one decimal place)
Step 2: Calculate the cost of fencing.
Cost of fencing = Circumference * Cost per foot
Given Cost per foot = $4.50
Cost of fencing = 94.2 feet * $4.50
Cost of fencing = $423.90 (rounded to two decimal places)
Therefore, it would cost $423.90 to fence in Mack's garden.
To find the circumference of a circle, we can use the formula:
Circumference = 2 * π * radius
Given radius = 4 feet
Circumference = 2 * 3.14 * 4
Circumference = 25.12 feet (rounded to two decimal places)
Therefore, the circumference of the circle is 25.12 feet.
To find the diameter of the circular track, we can divide the total distance ran by the number of laps.
Given total distance = 8 miles
Given number of laps = 10 laps
Step 1: Calculate the distance per lap.
Distance per lap = Total distance / Number of laps
Distance per lap = 8 miles / 10
Distance per lap = 0.8 miles
Step 2: Find the circumference of the circular track.
Circumference = Distance per lap
Given circumference = 0.8 miles
Circumference = 0.8 miles * 1.60934 (conversion factor to kilometers)
Circumference = 1.287 km
Step 3: Calculate the diameter.
Diameter = Circumference / π
Diameter = 1.287 km / 3.14
Diameter = 0.410 km (rounded to three decimal places)
Therefore, the diameter of the track is 0.410 km.
To find the cost of carpeting a room, we need to calculate the area of the room and then multiply it by the cost per square yard.
Step 1: Calculate the area of the room.
Area = Length * Width
Given length = 22 yards
Given width = 5 yards
Area = 22 yards * 5 yards
Area = 110 square yards
Step 2: Calculate the cost of carpeting.
Cost of carpeting = Area * Cost per square yard
Given cost per square yard = $5
Cost of carpeting = 110 square yards * $5
Cost of carpeting = $550
Therefore, it would cost $550 to carpet the room.
To calculate the cost of carpeting a circular room, we need to find the area of the room and then multiply it by the cost per square foot.
Step 1: Calculate the area of the room.
Area = π * radius^2
Given radius = 20 feet / 2 = 10 feet
Area = 3.14 * (10 feet)^2
Area = 314 square feet
Step 2: Calculate the cost of carpeting.
Cost of carpeting = Area * Cost per square foot
Given cost per square foot = $3.50
Cost of carpeting = 314 square feet * $3.50
Cost of carpeting = $1099
Therefore, it would cost $1099 to carpet the circular room.
To find the cost of fencing Mack's circular garden, we can first find the circumference of the garden. The circumference of a circle can be calculated using the formula: C = πd, where C is the circumference and d is the diameter.
1. Calculate the diameter: Since the garden is 30 feet across, we can divide that by π to find the diameter. Diameter = 30 / π = 9.55 feet (approximately).
2. Calculate the circumference: Using the formula C = πd, we can substitute the value of the diameter: C = π * 9.55 = 30 feet (approximately).
3. Calculate the total cost: Now, we can multiply the circumference by the cost per foot to get the total cost. Total cost = 30 feet * $4.50/foot = $135.
Therefore, it will cost $135 to fence in Mack's garden.
For the next question:
To find the circumference of a circle with a radius of 4 feet, we can use the formula C = 2πr, where C is the circumference and r is the radius.
1. Calculate the circumference: Substitute the value of the radius into the formula. C = 2π * 4 = 8π feet (approximately).
Therefore, the circumference of a circle with a radius of 4 feet is approximately 8π feet.
Moving on to the third question:
To find the diameter of the circular track, we can calculate the distance covered by Ben during 10 laps and divide it by the number of laps. The formula to find the circumference of the track is C = πd, where C is the circumference and d is the diameter.
1. Calculate the circumference of the track: Divide the total distance covered (8 miles) by the number of laps (10). C = 8 miles / 10 = 0.8 miles per lap.
2. Find the diameter: Divide the circumference by π to find the diameter. d = C / π = 0.8 miles / π = 0.2545 miles (approximately).
Therefore, the diameter of the track is approximately 0.2545 miles.
For the fourth question:
To find the cost of carpeting the room, we need to calculate the area of the room first. The formula to find the area of a rectangle (room) is A = length * width.
1. Calculate the area: Multiply the width (5 yards) by the length (22 yards). A = 5 yards * 22 yards = 110 square yards.
2. Calculate the total cost: Multiply the area by the cost per square yard. Total cost = 110 square yards * $5/square yard = $550.
Therefore, it would cost $550 to carpet the room.
Lastly, for the last question:
To find the cost of carpeting the circular room, we need to calculate the area of the circle first. The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.
1. Calculate the radius: The diameter of the circular room is given as 20 feet across, so the radius is half of that. Radius = 20 feet / 2 = 10 feet.
2. Calculate the area: Substitute the value of the radius into the formula. A = π * (10 feet)^2 = 100π square feet (approximately).
3. Calculate the total cost: Multiply the area by the cost per square foot. Total cost = 100π square feet * $3.50/square foot.
Therefore, to find the total cost, you would need to calculate 100π * 3.50.
All of these questions have to do with the circumference of a circle.
C = pi * d or
C = pi * r^2
You can use either 3.14 or 22/7 for pi.