![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
As shown in the figure, to build a lawn with equal radius at each of the three corners of the triangle square ABC, the radius of the fan should be 20 meters, and the total area of the lawn should be calculated. (π = 3.14)
S Lawn = 180 π· 202360 = 200 π = 200 × 3.14 = 628 (M2)
In order to build a fan-shaped lawn with the same radius at the three corners of the triangle square ABC with an area of 1156 square meters, it is required that the lawn
In order to build a fan-shaped lawn with the same radius at the three corners of the triangle square ABC with an area of 1156 square meters, the total area of the lawn should be half of the area of the cursor, and the radius of each fan should be calculated
If the radius is r, then the total area of lawn is s = π R ^ 2 / 2 (∫ a ＋ B ＋ C = 180 ° and three fans with the same radius form a semicircle),
When s = π R ^ 2 / 2 = 1156 / 2, r = √ 1156 / π≈ 19.19
In a triangle lawn ABC, ∠ a = 150 °, ab = 20m, AC = 14m, what is the lawn area? (urgent)
S=(AB×ACsinA)/2
=(20×14sin150°)/2
=(20×14sin30°)/2
=(20×7)/2
=70m^2
RELATED INFORMATIONS
- 1. The perimeter of a rectangular lawn is 36m. If its length and width increase by 3M, how many square meters will the original lawn area increase?
- 2. The perimeter of a rectangular lawn is 36m. If its length and width increase by 3M, how many square meters will the original lawn area increase?
- 3. Pythagorean theorem] if the length of the hypotenuse of an isosceles right triangle is 4, then the perimeter of the right triangle is 4 It's a process
- 4. There is a triangle lawn in the middle of the road (see photo). The price of 1 m2 lawn is 12 yuan. How much does it cost to grow this lawn?
- 5. There are three lawns in the street garden. The first one accounts for 3 / 10 of the total area, the second one covers 1 / 5 of the total area, and the third one accounts for 1 / 3 of the total area. What is the total area of the three lawns in the street garden?
- 6. As shown in the figure, the shaded part represents the campus lawn, the blank part represents the path, and the algebraic expression is used to represent the lawn area
- 7. In the "old city reconstruction" of a city, it is planned to plant turf on a triangular open space in the city as shown in the figure to beautify the environment Planting turf to beautify the environment is known to cost 80 yuan per square meter. How much does it cost to buy this kind of turf?
- 8. In the "old city reconstruction", a city plans to plant some kind of turf on a triangular open space as shown in the figure to beautify the environment. It is known that ab = 30m, AC = 40m, ∠ BAC = 150 ° and the price of this kind of turf is a yuan per square meter. How much is it required to buy this kind of turf at least?
- 9. Can 15 meters, 16 meters and 17 meters form a triangle? What's the area?
- 10. The area of the trapezoid is 2 hectares. How many meters is the bottom of the trapezoid
- 11. A school takes an equilateral △ ABC corner with a side length of 2A The corner of an equilateral △ ABC with a side length of 2a is divided into two parts with equal area by de. D is on AB and E is on AC (1) Let ad = x (x ≥ a), ed = y, find the functional relation of Y expressed by X;? (2) If De is the location of irrigation water pipe, in order to save money, I hope it is the shortest, where should de be? If De is the tour line, I hope it is the longest, where should de be? The answer is (1) y = √ (x ^ + 4 * (a ^ 4) / x ^ - 2A ^) (2) When ad = (√ 2) * A and de ‖ BC, De is the shortest; when D is the midpoint of AB, e coincides with C or D coincides with B, e is the midpoint of AC, De is the longest Mainly the first question
- 12. A rectangular grassland is 16 meters long and 8 meters wide, with a stone road in the middle. If it costs 40 yuan to pave a 1 square meter grassland, how much does it cost to pave this land The back is the floor. How much is it?
- 13. The perimeter of a circular lawn is 37.68 meters, and a 2-meter-wide circular gravel road is paved outside. How many square meters is the area of this gravel road?
- 14. As shown in the figure, a trapezoidal Street garden is divided into two parts: parallelogram and triangle. Peony and rose are planted respectively. Peony covers an area of 300 square meters, and rose covers an area of how many square meters?
- 15. There is a vegetable plot with an area of 500 square meters, 1 / 3 eggplant, 2 / 5 cucumber and the rest tomato. How many square meters of tomato?
- 16. The area of a vegetable field is 1000 square meters, two fifths of which are tomatoes, and the remaining area is 5:1 eggplant and cucumber What are the areas of these three vegetables? (please list the formula) Urgent!
- 17. A vegetable plot covers an area of 1000 square meters, of which two fifths are tomatoes, and the remaining area is 5:1 eggplant and cucumber What are the areas of these three vegetables?
- 18. Uncle Wang, a farmer, has 600 square meters of vegetable land, of which two fifths are tomatoes, and the rest are cucumbers and eggplants according to the area ratio of 3:1. How many square meters are cucumbers planted?
- 19. A rectangular vegetable field is 24 meters long and half as wide. It can receive 2 kg of tomatoes per square meter. How many kg of tomatoes can this vegetable field receive?
- 20. There is a professional grower, a total of 975 hectares of vegetables, eggplant, tomatoes, cucumbers, of which the area ratio of tomatoes and cucumbers is 3:2, cucumbers and There is a specialized farmer who grows 975 hectares of vegetables. He grows eggplants, tomatoes and cucumbers. The area ratio of tomatoes to cucumbers is 3:2, and that of cucumbers to eggplants is 5:7. How many hectares of tomatoes, cucumbers and eggplants have been planted?