Practice problems of the circle - page 42 of 47
A circle is a geometric shape that consists of all points that are a fixed distance, called the radius, away from a central point called the center. The distance around the circle is called the circumference and the region enclosed by the circle is called the area of the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant, the Ludolph number, approximately equal to 3.1415926.The formula for the area of a circle is A = πr2, where A is the area and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest distance across the circle and is also twice the length of the radius. The formula for the diameter of a circle is d = 2 * r, where d is the diameter and r is the radius. The diameter of a circle is an important measurement in geometry and is used in many mathematical formulas, such as the formula for the circumference of a circle (C = πd)
Number of problems found: 938
- Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)? - MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The diameter of the circle that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball. - Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Math heart
A stylized heart shape is created from a square with a side of 5 cm and two semicircles over its sides. Calculate the area and its circumference. - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Trough
How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and water speed is 142 cm per second? - Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the - Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. - The collar
The collar on the dress has the shape of an annulus 6 cm wide. The circumference of the inner circle is 31.4 cm. How much is cm² of fabric needed to make one collar? - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - Sidewalk 6347
There is a sidewalk 70 cm wide around the circular law with a radius of 2.3 m. How many square meters does the sidewalk have? - Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high. - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Calculate 5870
Calculate the volume of the area covered with three rows of 7 tiles. One tile is 30 cm wide and 45 cm high and ends with circular arches at two ends. Enter the result in m². - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Radians
Convert 324° to radians. Write the result as a multiple of the number π. - 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. - Hexa pyramid
The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 1 m. Find the volume of the pyramid to be 2.5 m high. - Describe 5247
The large hand on the clock is 14 cm long. What path will the tip of the hand describe in 35 minutes?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.