Examples of area of plane shapes - page 40 of 135
Number of problems found: 2697
- Circle arc + section
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. - Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE? - Triangle area and angle
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the vertex A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 . - Pool sidewalk tiles
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk? - Triangle circle radius
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Bed sand volume
The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand. - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - ABC gifts
Arthur had 30 dollars to spend on three gifts. He spent 9 3/4 dollars on gift A and 4 1/2 dollars on gift B. How much money did he have left for gift C? - Square rectangle area
Task 1 - The circumference of the square is 280 mm. What is its area? Task 2 - the perimeter of the rectangle is 44.6 dm, and its width is 6.3 dm. Calculate the area of this rectangle. - Painter area days
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Square quadrilateral area
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - A rectangular 5
A rectangular picture frame is made of wooden strips ¾ inch wide. The outside edge of the frame is 8 ¼ inches long and 6 ¾ inches wide. Can a rectangular picture 7 inches long and 5 ½ inches wide fit inside the frame? CLEARLY EXPLAIN your answer. - A land 2
A land owner owns two parcels of land measuring 4 2/5 hectares and 6 1/5 hectares. He sells 3/4 of the total land. How many hectares of land are left? - Flowerbeds
There are three square flower beds on the square grassy plot. What percentage is the grassed part of the land when one side is 35 m, and the side of the flowerbed is 10 m? - Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Carpet floor area
The carpet covers 8 m² of flooring, which is one-third of the entire floor area. How big is the whole floor? - The collar
The collar on the dress has the shape of an annulus 6 cm wide. The circumference of the inner circle is 31.4 cm. How much is cm² of fabric needed to make one collar? - Plot dimension increase
The surface area of the rectangular plot needs to be increased by 33.7 percent. One dimension was extended by 2.9 percent. By what percentage should the second dimension be increased? Round the result to two decimal places.
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