The area of circular sector problems

Number of problems found: 22

  • Circle sector
    vysec Circular sector with a central angle 160° has area 452 cm2. Calculate its radius r.
  • Circular segment
    odsek Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm and the angle α = 60°. Help formula: S = 1/2 r2. (Β-sinβ)
  • Arc and segment
    odsek_kruh Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is ?.
  • Circle arc
    arc_cut Calculate the circular arc area in m2 where the diameter is 290 dm, and a central angle is 135°. Result round to three decimal places.
  • Maximum of volume
    kuzel2 The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
  • Mice
    sir-emmental-korol-sirov 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?
  • Math heart
    srdce_1 Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.
  • Quadrant II
    quartes_circle Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
  • Circular pool
    arc_open The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
  • Flakes
    kvietok_MO 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?
  • Irrigation sprinkler
    postrekovac_1 The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
  • Three segments
    vysek_1 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?
  • Equilateral triangle v3
    RRtrojuhelnik Calculate the content of the colored gray part. Equilateral triangle has side length 8 cm. Arc centers are the vertices of a triangle.
  • Circle arc
    pizza Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of the central angle.
  • Quarter of a circle
    circle14 Calculate the circumference of a quarter circle if its content is S = 314 cm2.
  • Circle and angle
    arc What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
  • Goat and circles
    equation_nonlinear 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
  • Field with vegetables
    irrigation Field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
  • Surface of the cone
    kuzel3 Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
  • Volume of the cone
    kuzel2 Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.

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Examples of area of plane shapes. Circular sector Problems.