Practice problems of the circle - page 44 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
- Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Park
The newly built park will be permanently placed with rotating sprayer irrigation lawns. Find the largest radius of the circle that can irrigate by sprayer P, not to spray park visitors on line AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - Circumference 7143
Peter drew a regular hexagon, the vertices of which lay on a circle 16 cm long. Then, for each vertex of this hexagon, he drew a circle centered on that vertex that ran through its two adjacent vertices. The unit was created as in the picture. Find the ci - Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°? - Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc? - Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated? - The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m. - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Ground 8370
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Subtended 83194
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - Construction of trapezoid
Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction) - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m². - Situation 70644
How large is the area colored brown inside a square of side 6 cm if each of the four brown circular segments is from a circle with a radius of the length of the square's side? The length of the circular segments is equal to the length of the side of the s - Three segments
The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C? - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options
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