Planimetrics + circular sector - practice problems
Number of problems found: 56
- A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - Bridge
The bridge arc has a span of 72 m and height 5 m. Calculate the radius of the circle arc of this bridge. - Length of the arc
What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°? - The central
The central angle of a sector is 30°, and the radius is 15 m. Determine its perimeter. - Estate
Semicircle estate must be a fence. The straight section has a 26 meters long fence. How many meters of the fence should we buy? - Equilateral triangle v3
Find the area of the colored gray part. An equilateral triangle has a side length of 8 cm. Arc centers are the vertices of a triangle. - Irrigation sprinkler
The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate? - Math heart
A stylized heart shape is created from a square with a side of 5 cm and two semicircles over its sides. Calculate the area and its circumference. - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and a central angle is 40°. Please result round to three decimal places. - Pendulum
Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm. - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Automatic 45711
What grass area can the automatic sprayer spray if it is set to spray at an angle of 120 ° and the water sprays up to a maximum distance of 5 meters? - Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated? - Circular 72244
How many kg of grass seed must be bought to start a lawn in the shape of a circular section with a radius of r= 15 m and a central angle of 45 degrees if 1 g of grass seed is used per 1 dm of the square area? - Park
The newly built park will be permanently placed with rotating sprayer irrigation lawns. Find the largest radius of the circle that can irrigate by sprayer P, not to spray park visitors on line AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - Centimeter 5670
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. - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
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