Planimetrics - math word problems - page 133 of 185
Number of problems found: 3697
- MO circles
Juro built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle with a center at point B passing through point A and a semicircle l with a center at the center of the BC side and passed point B. He would still build a circle th - The ratio 7
The ratio of the sides of two squares is 4:5. If the sum of their areas is 180 cm². Find the sides of the two squares. - Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden. - Clock hands
The hands-on clock shows the time as 12 hours and 2 minutes. Three hours later, calculate the size of an acute angle between the clock hands. - Draw a triangle
We have line segments with lengths of 3cm, 5cm, 6cm, 7cm, and 9cm. What is the probability in % that if I randomly select three of them, I will be able to draw a triangle? - Square
If we increase the side of the square, increase its area of 50%. What is the percentage we increase the side of the square? - Railway descent permille
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Square area increase
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Wood floats
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math - Hydraulic press force
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N? - Lake path calculation
Lake Trasimeno is approximately in the shape of a circle, its area is about 28 square kilometers, and Mr. Hector's walking speed is approximately 4km/h. Calculate the length of the path around the lake and how many hours Mr. Hector would have to walk to o - Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side. - Rectangle circle ratio
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs? - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Radians
Convert 90° to radians. Write the result as a multiple of the number π.
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