All you have to do is move your decimal point over eight places to the right and then subtract that from the first number and you have your answer.
The area of the circular shaped rug would be 451.931, let me explain to you how I got this calculation.
First thing you have to do is know the formula to find the area of a circle. The formula is A=pie x Rsquared, but when you look at the information provided, you dont have the radius, so you have to find it yourself.
You probably noticed that since diameter is twice the radius, the proportion between circumference and diameter is equal to π: <span>C/D = 2πR / 2R = π is the formula for the convertion of circumfrence to diameter.
</span>
Once you find the diameter, which should be rounded to 23.98, you will need to divide it by 2 for the radius which should give you approximatly 11.99.
Finally, you do the regular formula to find area which is A=pie x Rsquared. so you do 3.14 x (11.99 x 11.99)=451.931in.
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Answer:
$34.49
Step-by-step explanation:
To figure out this problem, you would need to divide the total price by the total amount of items you are buying
In this case it is...
172.45/5
=34.49
So the price of each item is approx. $34.49
Answer:
A = 48
B = 5
C = 54
Step-by-step explanation: