# 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: 1973

• Clock
What distance will pass end of 8 cm long hour hand for 15 minutes?
• Vector
Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles?
• Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Broken tree
The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.
• Cableway
Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station.
• Circle
How big is area of circle if its circumference is 80.6 cm?
• Rectangle
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
• The triangle
The triangle is given by three vertices: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - center of a circle circumscribed
The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart?
• Rectangle from string
String 12m. Make rectangle when one side is two times longer than its width.
• Flywheel
Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
• A rectangle's
A rectangle's length is 3 times more than twice its width. If the perimeter of the rectangle is 60 feet. What is the length of the rectangle
• Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ?
• Circle
Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?
• Wire D
Wire length 1 m is bent so that it forms a semicircle circuit (including the diameter). Determine the radius of the semicircle.
• Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
• Magnification of the square
If we increase the square side, increase the content of the 70 %. About what percentage was increased his sides?
• Squares
From a square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest?
• Right triangle
Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.

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