Planimetrics - math word problems - page 93 of 185
Number of problems found: 3687
- Concentric circles
A circle K with radius r = 8 cm is given. How big a radius must a smaller concentric circle divides a circle K into two parts with the same area? - Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter. - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - IS trapezoid
Isosceles trapezoid arm measured 80 cm. Height is 65 cm, and the middle segment is 71 cm. Find the length of its bases. - Hypotenuse and height
In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs. - R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Parallelogram area perimeter
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Quadrilateral angle sizes
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - Park trail length
The circular park has an area of 31400 m². A trail runs across the center of the park. How long is it? - Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall? - Square side calculation
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. - Circle circumference calculation
Calculates the circumference of a circle if its area is S = 2119.5 cm². - Plot width calculation
The rectangular plot has an area of 200 square meters. The length of the land is 20 meters. How wide is the land? - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus. - Rectangle Perimeter and Area
Perimeter and area of the rectangle. Diagonal 260m and one side 150m
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