Planimetrics - practice for 12 year olds - page 15 of 51
Number of problems found: 1015
- Bridge
The bridge arc has a span of 72 m and height 5 m. Calculate the radius of the circle arc of this bridge. - Area of RT 2
Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm. - 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? - Angles
The outer angle of the triangle ABC at vertex A is 113°36'. The outer angle at vertex B is 119°54'. What size is the internal angle at vertex C?
- Squaring the Circle
Find the side of the square with the same area as the circle of radius 18. - Trapezoid
Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - Right triangle
Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides. - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - 4-gon
Is it true that a 4-gon whose two sides are parallel and the other two have equal length is a parallelogram?
- Circumscription
Calculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. Can it be a rectangle inscribed by a circle? - Cable
The cable consists of 8 strands. Each strand consists of 12 wires with a diameter of d = 0.5 mm. Calculate the cross-section of the cable. - Square
Calculate the area of the square with diagonal 64 cm. - Diagonal
Can it be a diagonal diamond twice longer than its side? - Diagonal
Can a rhombus have the same length, diagonal, and side?
- Chord
The point on the circle is the endpoint of diameter and endpoint of the chord length of the radius. What angle between chord and diameter? - Clock
How long is the trajectory of the second hand of hours for day, if it is 15 mm long? - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Rectangular trapezoid
How many inner right angles have a rectangular trapezoid? - Mine
The wheel in the traction tower has a diameter of 4 m. How many meters will perform an elevator cabin if the wheel rotates in the same direction 89 times?
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