Unit conversion + circle - math problems
Number of problems found: 68
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 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.
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?
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°.
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
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
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.
How many times a day hands on a clock overlap?
Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
What distance will pass end of 8 cm long hour hand for 15 minutes?
Blade circular saw with a diameter 42 cm turns 825 times per minute. Expresses his cutting speed in meters per minute.
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?