Planimetrics + area - practice problems - page 58 of 76
Number of problems found: 1514
- Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - Unknown number 24
I think the number: a - is the same as the square area with the 12th circumference. What is this number? b - its half is seven times bigger than its quarter. Is this the number? - Do you solve this?
Determine area S of a rectangle and the length of its sides if its perimeter is 102 cm. - In the
Workers will pave a 1-meter-wide sidewalk in the garden with tiles around the block-shaped pool. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. How many m² of pavement will be laid with tile
- Painter 3
Dad wants to paint the wall high 250 cm, wide 230 cm with wallpaper. How many meters must he buy wallpaper if the wallpaper width is 60 cm? - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden? - Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0 and the diagonal on the line 3x + 2y + 3 = 0
- Described circle to rectangle
The rectangle with sides of 6 cm and 4 cm was circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Percentage 82591
A new path is to lead through Mr. Milan's garden – diagonally. By what percentage of the area of the park will it decrease? The length is 23.8 m, the width is 16.7 m, and the road width is 6 m. - Hypotenuse 82158
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the missing side, given: side a=15 dm. Determine the content of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - Percentage 24151
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds? - Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have?
- Circumference 2907
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Harvested 82548
Farmers harvested 1110q of grain from 37 hectares of wheat. a) how many q of wheat did they harvest from 12 hectares? b) how many grains were harvested from 1 m². C) how big is the side of the square of the field from which they harvested 1q of wheat? - Rectangular 81233
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x.
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