Practice problems of the area of a circular sector
Number of problems found: 33
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- Circle segment
A quarter circle with radius 4 has the same area as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment?
The ornament consists of one square and four dark semicircles. The area of the square is 4 cm². Find the area of one dark semicircle and round the result to hundreds.
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
- Automatic 45711
What area of grass 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?
- Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes?
We describe a circle of the square, and we describe a semicircle above each side of the square. This created 4 flakes. Which is bigger: the area of the central square, or the area of four flakes?
- Circular 21273
The dragon has the shape of a circular section with a central angle of 40 ° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones?
Mice consumed a circular hole in a slice of cheese. The cheese has the shape of a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
- Three segments
The circle is divided into 3 segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
- Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm².
- Irrigation sprinkler
The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
- 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.
- Math heart
A stylized heart shape is created from a square with a side of 5 cm and two semicircles over his sides. Calculate the area and its circumference.
What area of a circle occupied the flowers planted in the arc of a circle with radius 3 m with central angle 45°?
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
- Field with vegetables
Field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
- Goat and circles
What is the radius of a circle centered on the other circle and the intersection of the two circles is equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which g
The newly built park will be permanently placed rotating sprayer irrigation of 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.
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm, and a central angle is 40°. Result round to three decimal places.
Examples of area of plane shapes. Circular sector practice problems.