# Unit conversion + circle - math problems

#### Number of problems found: 68

• Decagon Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
• Annulus from triangle Calculate the content of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm
• Central angle What is the length of the arc of a circle with a diameter of 46 cm, which belongs to a central angle of 30°?
• Base Base of building is circle with diameter 25 m. Calculate the circumference of a circular trench witch diameter is 41 cm wider than the diameter of the base.
• Circle arc Calculate the area of the circular arc in m2 where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places.
• Clock How long is trajectory of second hand of hours for day, if is 15 mm long?
• 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?
• Wheel What is the wheel diameter if on the 0.38 km track turns 128 times?
• Earth parallel Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
• Compass What angle are between directions WSW (WestSouthWest) and SSE (SouthSouthEast) on the compass?
• Constant Angular Acceleration The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int
• RPM An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
• Rectangle The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle.
• Circular pool The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
• The central The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.
• Clock How many times a day hands on a clock overlap?
• Wheel Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
• Clock What distance will pass end of 8 cm long hour hand for 15 minutes?
• Saw Blade circular saw with a diameter 42 cm turns 825 times per minute. Expresses his cutting speed in meters per minute.
• Pulley On wheels with a diameter of 40 cm is fixed rope with the load. Calculate how far is load lifted when the wheel turns 7 times?

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