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Formulas
Area
Volume
Circumference
Radius/Diameter
100
π r^2 is the area formula for this polygon.
What is a circle.
100
What is the area of a circle with diameter 5.5 cm?
What is 23.7582944428cm^2.
100
The formula for the volume of this solid is πr²×h.
What is a cylinder.
100
What is the circumference if the diameter is 12.34cm?
The circumference is 38.76cm.
100
What is the radius of a circle having a circumference of 6π?
The radius is 3.
200
π d is the formula needed to determine this.
What is the circumference.
200
What is a third of the area of a circle that has a diameter of 25cm?
What is 163.62cm^2
200
The formula for the volume of this solid is 4/3πr³
What is a sphere.
200
If the radius is 13.4 cm, what is the circumference?
The circumference is 84.1946831162cm.
200
What is the 45cm^2 is half of the area of a circle, what is the diameter?
What is 57.32cm.
300
The relationship between circumference and diameter.
What is Pi, the fixed ratio of circumference to diameter.
300
If the radius of a circle is increased by 100%, then the area is increased by how much?
What is 300%.
300
The volume of a cylinder with a diameter of 6cm and a height of 2cm.
What is ≈56.5487cm³.
300
What is the circumference of a circle that is 30.2cm²?
What is 19.48cm.
300
What is the diameter of a sphere with a volume of 200cm³?
What is ≈7.25566cm.
400
2 π r 2 + 2 π r h is what formula?
What is the s/a formula for a cylinder. 2 π r determines the area of the circles at the top and bottom and the 2 π r h determines the diameter times the height and so the area of the piece that wraps around.
400
The arc lengths of three semicircles are as shown. What is the area of the shaded region?
What is 113.04cm^2.
400
The volume of a sphere with a circumference of 20.5cm.
What is 145cm³.
400
The difference between the radii of two circles is 10cm. What is the difference between their circumferences?
What is 62.8cm.
400
What is the length of the radius of a circle with an area of 34.5cm²?
What is 3.314cm.
500
The simple explanation to the concept behind π r^2
What is the rectangle created from the smaller equal portions cut from a circle. Elaborate.
500
A circle is inscribed in a square. The side lengths of the square are all multiples of 3. When added together, they have a sum that is a multiple of 2,3,4,6, specifically. (Other factors may exist too). It is no greater than 180 and no less than 100. Using said dimensions, what is the area of half of the circle? (In cm^2)
What is 508.938009882 cm^2.
500
The volume of a sphere is this fraction of a circumscribed cylinder. (sphere with the same radius and height as the cylinder) Hint:Archimedes discovered this.
What is 2/3.
500
The diameter of one circle is the radius of another. The circumference of the smaller circle is prime and when squared yields a multiple of 5. It's less than 10. What is the circumference of the larger circle?
The circumference of the larger circle is 10.
500
A square is incribed in a circle. If the area of the square is 49cm^2, what is the radius of the circle?
What is 4.949747cm