Planimetrics - math word problems - page 35 of 178
Number of problems found: 3557
- Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a
- 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?
- Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32.
- RT 10
The area of the right triangle is 84 cm², and one of its catheti is a=10 cm. Calculate the perimeter of the triangle ABC.
- Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 84 dm and the other diagonal BD has length 20 dm.
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Areaf of ST
It is given square DBLK with side |BL|=13. Calculate the area of the triangle DKU if vertex U lies online LB.
- Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
- Trapezium
Find the height of the trapezium ABCD, which has an area 87.5 cm² and base lengths 15 cm and 10 cm.
- Trough
How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and a water speed of 142 cm per second?
- Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm.
- Rectangle
Calculate the perimeter of the rectangle with sides a=3.7 m and b=8.4 m.
- Strip
From 3 cm wide strip should be cut rhombus with area 16 cm². How long will it be on its side?
- Area of RT 2
Calculate the area of a right triangle whose legs have a length of 9 cm and 6.4 cm.
- Base
The base of the building is a circle with a diameter of 24 m. Calculate the circumference of a circular trench whose diameter is 19 cm wider than the diameter of the base.
- Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo?
- Rhombus
Find the length of each rhombus side if the perimeter is 78 cm long.
- Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- Rectangle vs square
The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above?
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