Angle practice problems - page 54 of 63
Number of problems found: 1253
- Calculate 6331
The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
- Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus.
- Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
- Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
- Octagon from rectangle
We cut the corners of a rectangular tablecloth with dimensions of 4 dm and 8 dm into isosceles triangles. Thus, the octagon formed had an area of 26 dm². How many dm² of tablecloth do we cut down?
- Hexagon - MO
The picture shows the ABCD square, the EFGD square, and the HIJD rectangle. Points J and G lie on the side CD and are true |DJ|
- Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism.
- Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm.
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
- Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Diamond PQOR
In the diamond PQOR, the diagonal RQ is 4 cm long, and the angle RPQ is 60°. What is the circumference of this diamond?
- Octagonal tank
The tank has the shape of a regular octagonal prism without an upper base. The base edge has a = 3m, and the side edge b = 6m. How much metal sheet is needed to build the tank? Do not think about losses or sheet thickness.
- Tangents to ellipse
Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
- Corresponding 6021
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m².
- Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double)
- Clock face
On the circular face of the clock, we connect the points corresponding to the numbers 2, 5, and 9 to each other, which creates a triangle. Calculate the sizes of all interior angles.
- Quadrilateral 3262
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA.
- Circumference 26361
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
- Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm.
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