Angle practice problems - page 57 of 63
Number of problems found: 1254
- Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets. - Circumscribed decagon
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this decagon. - Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm and a central angle of 26°. - Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure. - Quadrilateral 27693
Construct a quadrilateral ABCD with diagonals AC = e = 7cm, BD = f = 6.2cm, d = 4.3cm, a = 5.3cm and β = 125° - 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. - Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords. - Tower
The top of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB. - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus. - 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? - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture. - Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Quadrilateral 8120
If the pyramid's height is 4 cm and the base area is 16 cm2, include the side edge length of a regular quadrilateral pyramid. - Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
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