Planimetrics - math word problems - page 50 of 184
Number of problems found: 3667
- Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²? - The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid? - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v. - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Castle windows
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows? - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - Circle annulus
There are two concentric circles in the figure. The chord of the larger circle, 10 cm long, is tangent to the smaller circle. What does annulus have? - Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There were six cakes left for parents. How many cakes were made by the grandmother? - Circumference 63814
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond? - Triangle 63244
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - Magnitude 29891
The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle? - Rectangular 26641
The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table. - Calculate 10691
Calculate the length of the side of a square whose diagonal has a length of 10 m. - Perimeter 7778
The triangle has 7 cm, 8 cm, and 5 cm long sides. How long is the side of a square with the same perimeter as a triangle? - Circumference 7669
The rectangular field is 2a meters long and a-2 meters wide. Calculate the field circumference. - Calculate 7221
Calculate exactly when the hour and minute hands on the clock intersect.
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