Diagonal - practice problems
Number of problems found: 527
- Diagonals
What is the number of diagonals of a decagon?
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square.
- Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle.
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
- The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
- Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture.
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- Four points
There are 4 nonlinear points. How many triangles can form by joining them?
- Cuboid - sum of edges length
Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
- Diagonal
Can it be a diagonal diamond twice longer than its side?
- Diagonal
Can a rhombus have the same length, diagonal, and side?
- Diagonals
What x-gon has 54 diagonals?
- N-gon
How many diagonals have convex 30-gon?
- Square
Calculate the side of a square with a diagonal measurement of 10 cm.
- Trapezoid
Are diagonals in a rectangular trapezoid perpendicular and bisect the angles?
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