Planimetry - math word problems - page 90 of 187
Number of problems found: 3735
- Quadrilateral circle radius
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - Trapezoid area calculation
The LICH isosceles trapezoid has 5.2 cm long arms and its bases are 7.6 cm and 3.6 cm long. Find the area of the LICH trapezoid. - Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Long rope
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - The pole
A 4 m wire brace supports a telegraph pole. It is attached at 3/4 of the pole's height, and its lower end is 2.5 m from the base of the pole. Calculate the height of the telegraph pole. - Land exchange
Mr. Sova had a plot of land with an area of 3600 m². However, he exchanged it for another square plot, which was 5 m larger. How many m² does the larger land now have? - Tripled square
If you tripled the length of the sides of the square ABCD, you increased its area by 200 cm². How long is the side of the square ABCD? - Rhombus diagonal perimeter
How do I find the diagonals of a rhombus if its perimeter is 80 dm and one diagonal is 2x larger than the other? - Hypotenuse height segments
We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Ski lift height
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters? - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8 cm, b = 11 cm, c = 12 cm - Homework - jumps
Sasha jumped 141 cm Peter 4 cm more than George. Jirka 6 cm less than Misha. Misha 7 cm less than Philip, and Philip is half as much as Sasha and Peter together. How far does each jump? - Triangle circle radius
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Lamps on playground
The playground has the shape of a rectangle of 36 x 50 m. After how many meters can place the lamps on its lighting, if the distances between them are to be the same on both sides if the builders want to use the smallest possible number of lamps? - Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm². - Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120 m and 95 m and a height of 50 m.
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