Problems of the area of a circle

Number of problems found: 198

  • Two circles
    Two circles with the same radius r = 1 are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles?
  • 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?
  • Flowerbed
    We enlarge the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius.
  • Radius
    Find the radius of the circle with area S = 200 cm².
  • Folding table
    The folding kitchen table has a rectangular shape with an area of 168dm2 (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hu
  • Company logo
    The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?
  • Ratio of sides
    Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
  • Annular area
    The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
  • Equilateral triangle vs circle
    Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
  • Mice
    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?
  • Concentric circles
    There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area?
  • 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?
  • Area to perimeter
    Calculate circle circumference if its area is 254.34cm2
  • Waste
    How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
  • Area of a circle
    The circumference of the circle is 150.72 centimeters. Calculate the area of the circle.
  • Cutting square
    From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle?
  • An equilateral
    An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat?
  • Diagonals of pentagon
    Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm.
  • Quarter of a circle
    Calculate the circumference of a quarter circle if its content is S = 314 cm2.
  • Decagon
    Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m

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Circle Problems. Area - math problems.