# 7th grade (12y) + circle - math problems

- Radius

Find the radius of the circle with area S = 200 cm². - Coal mine

The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times? - Radius of the circle

Calculate the radius of the circle whose length is 107 cm larger than its diameter - Hands

The clock shows 12 hours. After how many minutes will angle between the hour and minute hand 90°? Consider the continuous movement of both hands hours. - Rectangle

The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle. - Washer

Washing machine drum wash at 58 RPM. Washing machine motor pulley has diameter 9 cm. What must be the diameter of the drum machine pulley when the motor is at 438 RPM? - Cylinders

Area of the side of two cylinders is same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much? - Circle arc

Circle segment has a circumference of 135.26 dm and 2096.58 dm^{2}area. Calculate the radius of the circle and size of central angle. - Gear

Two gears, fit into each other, has transfer 2:3. Centres of gears are spaced 82 cm. What are the radii of the gears? - Cone

Circular cone of height 15 cm and volume 5699 cm^{3}is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Earth parallel

Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°. - Arc

Circle arc corresponding to angle is 32° is 28 dm long. What is the length of the entire circle? - Quarter circular

The wire that is hooked around the perimeter of quarter-circular arc has length 3π+12. Determine the radius of circle arc. - Cap

Jesters hat is shaped a rotating cone. Calculate how much paper is needed to the cap 60 cm high when head circumference is 52 cm. - Pizza

Pizza with a diameter 50 cm have weight 559 g. What diameter will have a pizza weighing 855 g if it is make from the same cloth (same thickness....) and same decorated? - Bicycle wheel

A bicycle wheel has a diameter of 60 cm. Approximately how many times does wheel rotate at 2.5 km long trip? - Circle

How big is area of circle if its circumference is 80.6 cm? - Cu wire

Copper wire has a length l = 980 m and diameter d = 8 mm. Calculate the weight if density of copper is ρ = 8500 kg/m^{3}. Result round to one decimal place. - Radius

Determine the radius of the circle, if its perimeter and area is the same number. - Cylinder

Calculate the dimensions of rotating cylindrical container with volume 2 l, if height of container is equal to the diameter of the base.

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