Square practice problems - page 148 of 151
Number of problems found: 3013
- Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places. - The tower
The tower of the Dean's Church in Ústí nad Labem deviates from the original vertical axis by 220 cm. Its original height was 48 m. At what height is the highest point of this tower now? Enter the result to the nearest centimeter. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Circular Sidewalk Area
A sidewalk is 70 cm wide around the circular law and has a radius of 2.3 m. How many square meters does the sidewalk have? - Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters. - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Fountain grass seed
How many kg of grass seed should be bought to establish a lawn around a circular fountain with a diameter of 5 m if the lawn is to be 1.5 m wide and 1 g of grass seed is used per 1 dm of the square area? - Hexa pyramid
The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 2 m. Find the volume of the pyramid to be 2.5 m high. - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm². - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Circular park
The circular park has an area of 1600 m². Cross the park, right in its center, leads the trail. What is the length of the trail? - Circular lawn
Around a circular lawn area is a 2 m wide sidewalk. The outer edge of the sidewalk is a curb whose width is 2 m. The Curbstone and the inner side of the sidewalk together form concentric circles. Calculate the area of the circular lawn, and the result rou - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference. - Fountain sidewalk area
A 2 m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees.
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