# 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

• Bicycle wheel
Bicycle wheel diameter is 62 cm. How many times turns the bicycle on the road 1 km long?
What is the slope of a ladder 6.2 m long and 5.12 m in height.
• A rectangle
A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
• Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.
• 4s pyramid
Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?
• Altitude difference
What a climb in per mille of the hill long 4 km and the altitude difference is 6 meters?
• Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
• Bevel
I have bevel in the ratio 1:6. What is the angle and how do I calculate it?
• The angles
The angles in the triangle are in the ratio 12: 15: 9. Find the angles.
• Rhombus angles
If one angle in the rhombus is 159°, what is it neighboring angle in rhombus?
• A pipe
A radius of a cylindrical pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
• Squaring the Circle
Calculating side of the square with the same area as the circle of radius 18.
• Circle - simple
The circumference of a circle is 198 mm. How long in mm is its diameter?
• Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m.
• Hexagon
Divide a regular hexagon into lines into nine completely identical parts; none of them must be in a mirror image (individual parts can only be rotated arbitrarily).
• Circle from string
Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.
• QuizQ
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
• Count of triangles
Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
• Pipeline
How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
• Clock hands
The second hand has a length of 1.5 cm. How long does the endpoint of this hand travel in one day?

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