Circle - practice for 14 year olds - page 3 of 20
Number of problems found: 384
- Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - 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. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - 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. - 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? - 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? - Described
Calculate the perimeter of the circle described by a triangle with sides 478, 255, 352. - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers? - Circles
The area of a circle inscribed in a square is 14. What is the area of a circle circumscribed around a square? - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Squaring the Circle
Find the side of the square with the same area as the circle of radius 18. - Quatrefoil
Calculate the quatrefoil area, inscribed in a square with a side of 6 cm.
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