# Planimetrics - math word problems

Study 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: 1947

• ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
• Slope
What is the slope of a line with an inclination 6.06 rad?
• Coin
How many 50-cent coins must be put in a row that next 50-cent coins after them (above) rolled on it axis?
• Playground
Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
• Circle
From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x0, y0] and radius of the circle r.
• Climb
Road has climbing 1:27. How big is a angle corresponds to this climbing?
• Parabola
Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)
• Spherical cap
What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
• Megapascals
What is the area of crosssection of the piston, if the force of 300 kN produces a pressure of 5 MPa?
• Rhombus
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
• Kostka
Kostka je vepsána do koule o poloměru r = 6 cm. Kolik procent tvoří objem kostky z objemu koule?
• Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
• Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm.
• Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
• Star
Calculate the content of the shaded part of square with side 28 cm.
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
• Bicycle wheel
After driving 157 m bicycle wheel rotates 100 times. What is the radius of the wheel in cm?
• Bridge
The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
• Complementary angles 2
Two complementary angles are (x+4) and (2x - 7) find the value of x
• Rounding
What width and length in centimeters may have rectangle land when round the dimensions to the meter , the width is 5 m and length 7 meters?

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