Problems of the area of a circular arc

Number of problems found: 20

  • The collar
    The collar on the dress has the shape of an annulus 6 cm wide. The circumference of the inner circle is 31.4 cm. How much cm2 of fabric is needed to make one collar?
  • Ratio of squares
    A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the side of the square and the arc of the circle. What is the ratio of the areas of the large and small squares?
  • Square and circles
    The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a.
  • Flakes
    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?
  • Eq triangle minus arcs
    In an equilateral triangle with a 2cm side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the content of the shaded part - a formation that makes up the difference between the triangle area and circular cuts
  • Circular railway
    The railway connects in a circular arc the points A, B, and C, whose distances are | AB | = 30 km, AC = 95 km, BC | = 70 km. How long will the track from A to C?
  • Quarter of a circle
    Calculate the circumference of a quarter circle if its content 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?
  • The big clock
    The big clock hands stopped at a random moment. What is the probability that: a) a small hand showed the time between 1:00 and 3:00? b) the big hand was in the same area as a small hand in the role of a)? c) did the hours just show the time between 21:00
  • Circular segment
    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)
  • Equilateral triangle v3
    Calculate the content of the colored gray part. Equilateral triangle has side length 8 cm. Arc centers are the vertices of a triangle.
  • Math heart
    Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.
  • Arc-sector
    arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
  • Arc
    What area of a circle occupied the flowers planted in the arc of a circle with radius 3 m with central angle 45°?
  • 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.
  • Quadrant II
    Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
  • Cone A2V
    The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
  • Arc and segment
    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 (2)/(12) π.
  • Circle and angle
    What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
  • Circle arc
    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.

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.



Circular arc Problems. Area - math problems.