Planimetrics + diagonal - practice problems - page 7 of 16
Number of problems found: 313
- Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - The diagonals 2
The diagonals AC and BD of a rectangle ABCD intersect at a point O. If OA=4cm, find AC and BD. - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. Yard has the shape of a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps?
- Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Rectangular 26091
The circular running track has a diameter of 130 meters. Can a rectangular surface with dimensions of 12m and 50m be grassed inside the circle? - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Calculate 2416
In the rectangle ABCD we know the side length AB = 16 cm and the diagonal AC = 20 cm. Calculate its perimeter and area. - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo?
- Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Square 2
Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Diagonals
A diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal.
- Parallelogram 3567
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals? - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
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Planimetrics - practice problems. Diagonal - practice problems.