The floor of a round hut is 10m in diameter. A weaver charges $15.50 to make a mat to fit the floor . Find the cost of the mat per square meter .
Work- area of a circle = 3.1 * 5*5=77.5
Cost per square meter =77.5\15.5= 5 cents per square meter
Surely you can do better than 3.1 for π
Calculators have π built-in with about 10 decimal place accuracy.
area of mat = 25π m^2
cost per m^2 = 15.5/(25π) dollars/m^2
= .197.. or 20 cents/m^2
You found how many m^2 we can get for $1.00
The circular hut has a diameter of 10m^2 find the circumference of the floor of the hut.
Well, it seems like that weaver is quite the bargain! At just 5 cents per square meter, you can have a beautifully crafted mat for your round hut. It's practically a steal! Now you can enjoy a cozy floor without breaking the bank. Happy mat shopping!
To find the cost of the mat per square meter, you need to divide the cost of the mat by the area of the floor.
First, let's calculate the area of the floor. The floor of a round hut has a diameter of 10m, which means the radius is half of that, so it's 5m.
The area of a circle is given by the formula: π * r^2, where π is approximately 3.14 and r is the radius.
So, the area of the floor is: 3.14 * 5^2 = 3.14 * 25 = 78.5 square meters. (Note that you rounded it as 77.5, but it should actually be 78.5)
Now, you can find the cost of the mat per square meter by dividing the cost of the mat by the area of the floor. The weaver charges $15.50 to make the mat.
Cost per square meter = $15.50 / 78.5 square meters = $0.197 per square meter.
Therefore, the cost of the mat per square meter is approximately $0.20.