PLANE GEOMETRY - INTRODUCTION - ONLY COMPETITION QUESTIONS

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Professor em Casa - Felipe Cardoso

Published on Nov 18, 2020
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Subscribe to the channel, activate the bell and ask me your questions! =D ▶ Want to support the channel? =D PIX: [email protected] Plane Geometry Playlist: • PLANE GEOMETRY PDF sheet: https://drive.google.com/file/d/1eRLh... Plane Geometry - Introduction Perimeter It is the sum of all sides. Area It is the measurement of the surface of a polygon. Below, the formulas to calculate the area of ​​some polygons: • Rectangle • Square • Parallelogram • Triangle • Rhombus • Trapezoid Circumference and Circle Important Concepts • Radius: Line segment that goes from the center to any point on the circumference. • Diameter: Line segment that touches the circumference at two points, passing through the center. • Circumference: Geometric locus of points that have the same distance from a given point, called the center. • Circle: Union of the circumference with its interior. Exercises 1. To reforest an area, the sides of a plot of land must be completely fenced with mesh, except for the side bordered by the river, as shown in the figure. Each roll of mesh that will be purchased to make the fence is 48 meters long. The minimum number of rolls that must be purchased to fence this land is: a) 6 b) 7 c) 8 d) 11 e) 12 2. Consider that in a classroom each student must have at least 1 m² of available area and that the space occupied by the students cannot exceed 80% of the total area of ​​the room. In a rectangular room 6 m wide by 8 m long, according to the rule above, the maximum number of students is: a) 48 b) 42 c) 40 d) 38 e) 36 3. The following figure represents a rhombus whose diagonals measure 12 cm and 6 cm and whose white and black stripes inside it all have the same width. The area in bold inside this rhombus measures: a) 18 cm² b) 20 cm² c) 22 cm² d) 24 cm² 4. Increasing the radius of a circle by 20%, its area will be increased by: a) 20% b) 22% c) 40% d) 44% e) 48% 5. A plot of land has the shape of a trapezoid with bases 35 m and 24 m, and height 22 m. On this land, a rectangular swimming pool measuring 10.5 m by 6 m was built. The rest of the land was covered with grass. What is the area of ​​the part of the land that was covered with grass? a) 649 m² b) 586 m² c) 494 m² d) None of the above 6. The diameter of a truck wheel is 1 meter. To avoid an accident, traveling at 60 km/h, it is known that the truck travels 157 meters before stopping. How many complete turns will the truck wheel make in this situation? Consider π = 3.14. a) 50 b) 60 c) 80 d) 100 e) 150 7. Mauro intends to make a triangular fence on his land so that the height of this triangle is two-thirds of the measurement of its base and its area is 75 m². So, the sum of the measurements of the base and the height of this triangle, expressed in meters, will be equal to: a) 20 b) 22 c) 25 d) 28 e) 30

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