Planimetrics - math word problems - page 89 of 183
Number of problems found: 3651
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Rectangular 64554
We must draw a square grid on a rectangular plate measuring 154 cm and 210 cm. What should be the side length of the largest possible box? How many fields will be on the board? - Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120m and 95 m and a height of 50m. - ISO trapezoid v2
The bases of the isosceles trapezoid are measured 20 cm and 4 cm, and their perimeter is 55 cm. What is the area of a trapezoid? - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle? - 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.
- Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Clock's hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 60°? Consider the continuous movement of both hands for hours. - Right Δ
A right triangle has one leg 54 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height. - Circumference 43531
A triangle with a circumference of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - Diameter 4078
What is the diameter of the wheel when it turns 455 times per 1 km? They rounded to the nearest cm. - Flowerbed 2540
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v
- Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Isosceles 27793
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. - Against 6754
A ladder leans against the wall. It touches the wall at the height of 240cm. Its lower end is 100 cm distant from the wall. How long is the ladder? - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Circumference 4421
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference.
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