carpet is $25 per square yard. what is cost of circulare rug 9ft in diameter?
A = pi * r^2
A = 3.14 * 1.5^2
A = 2.25 sq. yards
25 * 2.25 = $______ cost
The formaula works for a rectangle, but this is a circle. How do you convert sides of a circle? The answer is $176.63, but I can't "make it fit".
25 * pi * 2.25 = 176.71
close enough to me. (Ms Sue dropped the pi on line 3. A typo you could have caught on careful reading and math checking!)
Thank you so much.
To find the cost of the circular rug, you first need to calculate the area of the rug and then convert it to square yards. Finally, you can multiply the area by the price per square yard of the carpet.
Step 1: Calculate the area of the circular rug.
The area of a circle can be determined using the formula: A = π * r^2, where A represents the area and r is the radius of the circle.
Given that the diameter of the circular rug is 9ft, we can find the radius by dividing the diameter by 2: r = 9ft / 2 = 4.5ft.
Now, we can calculate the area using the formula: A = π * (4.5ft)^2.
Step 2: Convert the area from square feet to square yards.
Since the price per square yard is given, we need to convert the area from square feet to square yards. One square yard is equal to 9 square feet.
To convert the area from square feet to square yards, divide the area by 9: A(sq yd) = A(sq ft) / 9.
Step 3: Calculate the cost of the circular rug.
Multiply the area in square yards by the price per square yard of the carpet.
Given that the cost of the carpet is $25 per square yard, the cost of the circular rug can be found by: Cost = A(sq yd) * $25.
By following these steps, you can find the cost of the circular rug.