Fractions + circle - practice problems - last page
Number of problems found: 79
- Describe 8188
Lunch is served from 12:10 to 12:35. What angle will the little hour hand describe during this time? a) 12 ° b) 12.5 ° c) 13 ° d) 42 ° - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Treadmill 70904
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill? - Cone
The circular cone of height 15 cm and volume 5699 cm³ 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.
- Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees. - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 7:8:7. Determine the size of the angles of the triangle ΔABC. - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Calculate 83356
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment. - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- Shortest 81627
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - Clock
How many times a day do hands on a clock overlap? - Circular 7894
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Cylindrical 46021
Calculate the magnetic field energy of a cylindrical coil with 400 turns, a length of 0.4 m, and a radius of 20 mm. A current of 3A passes through the coil. (µo = 4π 10-7 H. M-1) - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in
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