# Circle + reason - math problems

#### Number of problems found: 39

• Wheel gear A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles?
• Annulus Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n.
• Rotaty motion What is the minimum speed and frequency that we need to rotate with water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling?
• Circular railway The railway connects in a circular arc the points A, B, and C, whose distances are | AB | = 30 km, AC = 95 km, BC | = 70 km. How long will the track from A to C?
• Flowerbed We enlarge the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius.
• Folding table The folding kitchen table has a rectangular shape with an area of 168dm2 (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hu
• Lake or pond The landlord has a square lake. Trees grow around this lake. The lake wants to enlarge the pond twice and not cut down or flood any tree. How will he do that?
• Quarter circle What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
• Special watch Fero bought a special watch on the market. They have only one (minute) hand and a display that shows which angle between the hour and minute hand. How many hours was his watch shown - the minute hand points to number 2; the display shows 125°?
• The small The small hand of the wall clock is 15 cm long. What a long journey the end of the hour hand in 15 minutes will describe. (b - in 2 hours)?
• Earth's diameter The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen fly over the Earth above the equator at 10 km if it is at an average speed of 1500 km / h?
• Engine pulley The engine has a 1460 rev / min (RPM). Disc diameter is 350 mm. What will be the disc peripheral speed in RPM? Pulleys on the engine has diameter 80mm, on a disc has diameter 160mm.
• Rectangle - parallelogram It is given a rectangle that is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle.
• Clock What distance will pass end of 8 cm long hour hand for 15 minutes?
• Clocks What distance will describe the tip of minute hand 6 cm long for 20 minutes when we know the starting position with finally enclose hands each other 120°?
• Velocipede The front wheel of velocipede from the year 1880 had a diameter 1.8 m. Suppose the front wheel turned again one, then the rear wheel 6 times. What was the diameter of the rear wheel?
• Snowman 2 On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express
• Snowman In a circle with a diameter 50 cm are drawn 3 circles /as a snowman/ where: its diameters are integers, each larger circle diameter is 3 cm larger than the diameter of the previous circle. Determine snowman height if we wish highest snowman.
• Saw Imagine that the saw blade with diameter 40 cm has one tooth-colored with a different color. How long is the path describing by the tooth's tip after 15 minutes if the blade is rotated 13365 times?
• Intersections How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.

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Circle Problems. Reason - math problems.