The area of a shape of angle problems - page 3 of 12
Number of problems found: 231
- 30-gon
The radius of the inscribed circle is 15cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area.
- Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC.
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
- Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad?
- Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long?
- An isosceles
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area.
- Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm.
- Triangle SAA
The triangle has one side long 23 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle.
- Centimeters 83442
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- Circumscribed 22713
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm.
- Calculate: 6679
In the right triangle ABC, we know the right angle γ, the area S = 48 cm2, and the side a = 8 cm. Calculate: pages b, c
- Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas
- Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon.
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
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