Practice problems of the circle - page 22 of 48
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: 941
- The goldfish
The goldfish floats close to the wall of a circular pool with a radius of 10m. How many meters does it pass when it makes two circuits in the pool? (indicate the result to one decimal place) - Ace
The length of segment AB is 24 cm, and the points M and N are divided into thirds. Calculate the circumference and area of this shape. - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Acceleration
Describe how the cyclist's acceleration changes on individual sections (sections AB plane, BC turn, CD plane, DA turn), which describes the trajectory in the shape of an eight at a constant speed. The speed on the cyclist's tachometer is constant.
- Trigonometric formula
Determine the value of the function tg x (tangens) when cotg x = -0.8 (cotangent); x holds in the second quadrant) - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Circle and rectangle
The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is its length? Calculate the area of the circle described by this circle. - Circular track
The competitor runs on a circular track with a radius of 86 m. How many meters will he run in five rounds? (Solution and detailed procedure) - Athlete
How long length an athlete run when the track is a circular shape radius of 120 meters, and an athlete runs five times in the circuit?
- Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long. - RT - inscribed circle
In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at vertex C. Calculate the radius of the inscribed circle. - Percentage 58703
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy? - Velocity ratio
Determine the ratio at which the fluid velocity in different parts of the pipeline (one piece has a diameter of 5 cm and the other has a diameter of 3 cm) when you know that every point of the liquid is the product of the area of the tube [S] and the flui - Flowerbed 2801
Around the circular flowerbed with a diameter of 3.6 m is a footpath 50 cm wide. Calculate the footpath area
- Competitor 27141
The competitor runs on a circular track with a radius of 86 m. How many meters will he run three circuits? - Pizza
Pizza with a diameter of 50 cm weights 559 g. What diameter will a pizza weigh 855 g made from the same cloth (same thickness) and decorated? - Flowerbed 25241
How large should we sow an area with grass in a circular flowerbed with a radius of 4m? - Diameter 46141
The road roller has a diameter of 1.4 m and a length of 160 cm (a) how many square meters the road rolls when it turns 95 times b) how many times does it turn when rolling a 3 km-long section - Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³.
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