Circular arc Problems

Number of problems found: 42

  • Minute hand
    clocks What is the distance the minute hand of the clock travels in 12 minutes, if the diameter of the clock is 30 cm and the hand extends to a distance of 2 cm from the edge of the clock?
  • The collar
    medzikruzie 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?
  • Running
    oval The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit.
  • Ratio of squares
    squares_cut_circles 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
    squares_cut_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.
  • Length of the arc
    obluk What is the length of the arc of a circle k (S, r=68mm), which belongs to a central angle of 78°?
  • 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?
  • The length
    circle22 The length of the circle is 24 cm. What is the length of the circular arc of the corresponding angle 30°?
  • The bridge
    bridge2 A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force is pushing the car onto the bridge as it passes through the center? What is the maximum speed it can cross over the center of the bridge so that
  • Eq triangle minus arcs
    srafovana 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
    described_circle2 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?
  • Acceleration
    infinity-512 Describe how the cyclist's acceleration changes on individual sections (sections AB plane, BC turn, CD plane, DA turn), which describes the trajectory in the shape of an eight at a constant speed. The speed on the cyclist's tachometer is constant
  • Velocipedes
    Velocipede In the 19th century, bicycles did not have a chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) with a front-wheel diameter of up to 1.5 meters, while the rea
  • Quarter circle
    quarter_circle What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
  • Quarter of a circle
    circle14 Calculate the circumference of a quarter circle if its content is S = 314 cm2.
  • Irrigation sprinkler
    postrekovac The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
  • The big clock
    hodiny 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 arc
    obluk Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °
  • A bridge
    arc123 A bridge over a river has the shape of the arc with bases of the bridge at the river's edge. At the center of the river, the bridge is 10 feet above the water. At 27 feet from the edge of the river, the bridge is 9 feet above the water. How wide is the ri
  • Pendulum
    kyvadlo Calculate the pendulum's length that is 2 cm lower in the lowest position than in the highest position. The length of the circular arc to be described when moving is 20cm.

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.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

See also more information on Wikipedia.