Practice problems of the circle - page 10 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
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - Circles
The areas of the two circles are in the ratio 2:20. The larger circle has a diameter 20. Calculate the radius of the smaller circle. - Percentage 82623
The square in the picture has a side length of 6 cm. What percentage of the content is the colored part? - Circumference 6338
The circle has the same area as the square, whose circumference is 400m. Calculate the diameter of the circle. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Triangle in circle
Vertices of the triangle ABC lies on a circle with radius 3 so that it is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can carve from it? - Everywhere 36403
We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of the round tabletop? - Semicircles 7365
The playground floor plan consists of a square with a side of 8 meters and two semicircles. Calculate the length of the mantel, which is around the perimeter of the field. - Circumference 6651
Calculate the circumference of a circle if its area is 706.5 cm² - Diameter 6289
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste? - Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Cutting square
We cut the circle with the highest possible diameter from a square with a side of 30 cm. How many percents of the square area is this circle? - Percentage of waste
In a square plate with a side 75 cm, we cut four same circles. Calculate the percentage of waste. - Circumference 4278
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle? - Calculate 6930
Calculate the diameter of a circle whose area S = 78.5 cm². - Equation of the circle
Find the equation of the circle with center (3,7) and circumference of 8π units.
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