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for example...
Q. There is a cylinder tube that has a volume of 1 liter and is 12 cm long, what is the diameter of the cylinder?
A. - We know that volume of cylinder = cross sectional area (area of circular base) x length or height
- there are 1000 cubic cm in a liter, therefore our circular base area is 1000/12 = 83.333 square cm.
- from the Area of a circle formula we know that... (pi) x (radius squared) = 83.333 square cm
- we need to solve for the radius; by reverse operation we get radius = the square root of (83.333/pi) = 5.150 cm
- the diameter is twice that of the radius therefore the diameter is 10.3 cm
we have solved a problem using the area of a circle formula!
hope this helps ya
p.s. sometimes it helps to draw a diagram to understand the steps better, just incase there is any trouble.
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What would be the radius of a circle with the area of 136.89pi?
Use the formula for the area of a circle: area = pi x radius2 Replace the data you know (in this case the area), and solve for the unknown (in this case the radius).
How do you solve pi times radius squared?
The formula for finding the area of any circle is pi*radius2..
How would you use the area of a circle formula to solve a problem?
If the problem gave you the radius, the diameter, or even the circumferenceof the circle, and asked you to find the circle's area, that formula would beexactly what you need.On the other hand, if the problem gave you the area and asked you to find theradius, or the diameter, or even the circumference of the circle, you'd need to usethe area formula, and you'd also probably have to know what you're doing.Finally, if the problem was talking about the amount of money earned in five yearswith compound interest, or the heat dissipated by a 47-ohm resistor with 10 voltsacross it, or the gravitational force on the Earth in the presence of a 10-kilogrammass located 1 meter off of the ground, or the most effective diplomatic approach togetting Iran's nuclear weapons program suspended, then the area of a circle formulawould be completely useless, and would not help at all.
What is the area of a circle with a circumference of 37.14?
To find the circumference of a circle, you use the formula C = 2∏r. You will need to use this equation to solve for r, the radius. Once you have the radius, you will then plug it into the formula for an area of a circle, which is A = ∏r2. Now, let's fill in your information.C = 2∏r37.14 = 2∏rDivide both sided by 2∏ to isolate the variable r.37.14/2∏ = rSince the original problem uses two decimal places, we will round to two decimal places as well.5.91 = rNow, that we have the radius, 5.91, we can fill it into the formula for an area of a circle to solve your problem.A = ∏r2A = ∏(5.91)2A = ∏(34.94)A = 109.77So, the area of a circle with a circumference of 37.14 is 109.77.
What is the formula for finding diameter when given the area?
Assuming you mean a circle, use the formula for the area of a circle, which is usually expressed in terms of the radius, and solve for the radius. Then you can multiply that by two to get the diameter, since the diameter is twice the radius.
How do you find the radius of a circle when the area is given?
-- Take the formula for the area of the circle in terms of the radius . . . A = (pi) R2-- Solve that formula for 'R'. You'll then have a formula for the radius in terms of the area,which is exactly what you're looking for.
What would be the radius of a circle with the area of 136.89pi?
Use the formula for the area of a circle: area = pi x radius2 Replace the data you know (in this case the area), and solve for the unknown (in this case the radius).
How do you solve pi times radius squared?
The formula for finding the area of any circle is pi*radius2..
If the area of a circle is 201.06 then the circumference of the circle is?
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle. To find the circumference, you first need to find the radius by using the formula for the area of a circle (A = πr^2). Given that the area is 201.06, you can solve for the radius. Once you have the radius, you can plug it into the formula C = 2πr to find the circumference.
How do you find the radius when you only have area of a circle?
Use the formula area = pi x radius2. If you replace everything you know, you can solve for the radius.
What is the area of a circle radius of 4 inches?
To find the area, the formula is: pi*r2.Plug in the information: pi*(4)2.Solve: pi*16
How would you use the area of a circle formula to solve a problem?
If the problem gave you the radius, the diameter, or even the circumferenceof the circle, and asked you to find the circle's area, that formula would beexactly what you need.On the other hand, if the problem gave you the area and asked you to find theradius, or the diameter, or even the circumference of the circle, you'd need to usethe area formula, and you'd also probably have to know what you're doing.Finally, if the problem was talking about the amount of money earned in five yearswith compound interest, or the heat dissipated by a 47-ohm resistor with 10 voltsacross it, or the gravitational force on the Earth in the presence of a 10-kilogrammass located 1 meter off of the ground, or the most effective diplomatic approach togetting Iran's nuclear weapons program suspended, then the area of a circle formulawould be completely useless, and would not help at all.
What is the diameter of a circle that is 169 pi square yards?
Use the formula for the circle: area = pi x radius squared. Replace the area, and solve for the radius. Multiply the radius by 2 to get the diameter.
What is the area of a circle with a radius of inches?
To find the area, the formula is: pi*r2.Plug in the information: pi*(4)2.Solve: pi*16
What is formula for the area of a circle?
the formula for the area of a circle is 3.14 x radius squared
What is the formula doe for the area of a circle?
The formula to find the area of a circle is: A = pi * r2
What is the area of a circle with a circumference of 37.14?
To find the circumference of a circle, you use the formula C = 2∏r. You will need to use this equation to solve for r, the radius. Once you have the radius, you will then plug it into the formula for an area of a circle, which is A = ∏r2. Now, let's fill in your information.C = 2∏r37.14 = 2∏rDivide both sided by 2∏ to isolate the variable r.37.14/2∏ = rSince the original problem uses two decimal places, we will round to two decimal places as well.5.91 = rNow, that we have the radius, 5.91, we can fill it into the formula for an area of a circle to solve your problem.A = ∏r2A = ∏(5.91)2A = ∏(34.94)A = 109.77So, the area of a circle with a circumference of 37.14 is 109.77.
