Circle - problems
To circle with a radius of 98 dm from the point A guided two tangents. The distance of both points of contact is 155 dm. Calculate the distance from point A and circle centre.
Cylinder shell has the same content as one of its base. Cylinder height is 25 m. What is the radius of the base of the cylinder?
- Cut and cone
Calculate the volume of the rotation cone which lateral surface is circle arc with radius 14 cm and central angle 66 degrees.
- EQL triangle
Calculate inradius and circumradius of equilateral triangle with side a=100 cm.
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm.
How many 20-cent coins must be put in a row that next 20-cent coins after them (above) rolled on it axis?
- Tree trunk
Calculate the average tree trunk with a circumference of 151 cm.
- Field with vegetables
Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
What is the distance (length) the Earth's meridian 27° when the radius of the Earth is 6370 km?
- Rotary cylinder
The rotating cylinder has a surface area 69.08 cm2. The area of the shell is 62.8 cm 2. What is the diameter of the cylinder?
- Round table
Round table with diameter d = 95 cm is coated by square tablecloth with a side length 122 cm. About how many cm is higher center of tablecloth than its cornes?
- Percentage of waste
In a square plate with side 42 cm we cut 4 same circles. Calculate the percentage of waste.
To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
Perimeter of regular hexagon is 41. Calculate its circumradius (radius of circumscribed circle).
- CD disc
A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?
Diameter of motocycle wheel is 63 cm. How many times rotates wheel on roand long 1 km?
- 22/7 circle
Calculate approximately area of a circle with radius 20 cm. When calculating π use 22/7.
- Quarter circular
The wire that is hooked around the perimeter of quarter-circular arc has length 14π+56. Determine the radius of circle arc.
- Plastic pipe
Calculate weight of the plastic pipe with diameter d = 60 mm and length 400 cm if the wall thickness is 6 mm and the density of plastic is 1228 kg/m3.
Determine the radius of the circle, if its perimeter and area is the same number.