Circle - practice for 14 year olds - page 2 of 20
Number of problems found: 383
- Simultaneously 6997
Two boys train to run on a 400 m closed track. They both run simultaneously from the same starting track in the same direction. Boy A runs at a constant speed of 5 m/s, and Boy B runs at a constant speed of 3 m/s. At what time does Boy A overtake Boy B fo - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius? - Coordinates 36751
Calculate the circle's length and determine the coordinates of the center of the circle when given its diameter XY, X / -3.2 / and Y / -3, -4 /. - Round table
A round table with a diameter d = 105 cm is coated by a square tablecloth with a side length 121 cm. About how many cm is the higher center of the tablecloth than its corners? - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - Cutting circles
From the square 1 m sides, we have to cut the circles with a radius of 10 cm. How many discs will we cut, and how many percent will be wasted? - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Calculate 39131
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square. - 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? - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Percentage 66714
They cut a full circle from a square plate with a side of 200 mm. What percentage is waste? - 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.
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