Planimetrics - math word problemsStudy plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.
Number of problems found: 2205
- Rhombus problem
The perimeter of the rhombus is 268 m, and its area is 2278 m2. Calculate the height of the rhombus.
- Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
- Triangle SAS
Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
The rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
- Garden plot
Calculate how many meters of fence need to fence the square garden with length and width of 12 meters.
- Circle in rhombus
In the rhombus is an inscribed circle. Contact points of touch divide the sides to parts of length 19 cm and 6 cm. Calculate the circle area.
- Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
- Cube - angles
Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
Calculate the perimeter and area of a rhombus whose diagonals are 39 cm and 51 cm long.
Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
- Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height ladder touches the wall?
- Triangle SAA
The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
Calculate the area of trapezoid ABCD with sides |AB|= 50 cm, |BC|=25 cm, |CD|=10 cm, |AD|=25 cm..
- Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate at 2.5 km long trip?
- N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
- Triangle SSS
Calculate perimeter and area of a triangle ABC, if a=53, b=46 and c=40.
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Nitrianske Pravno (354 m AMSL), if the track is 11 km long.
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