Planimetrics - math problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

Number of problems found: 2230

  • In the 18
    rt_triangle_hypo_angle In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degree. How long is BC to the nearest centimetre?
  • Two waves
    phase_displacement Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 d. P.
  • Rectangular field
    land What is the area of a rectangular field 100m by 8m?
  • Area of a triangle
    iso_triangle_7 Find the area of a triangle with a base of 7 mm and a height of 10 mm?
  • 144 steps
    garden To get around the garden we have to take 144 steps. 8 steps less in width than in length. One step is 5 decimetres long. What are the dimensions of the garden? What is its perimeter and its area?
  • The width
    garden The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
  • A paint
    cylinder_cut A paint tin is a cylinder 12cm and height 22 cm. Leonardo, the painter, drops his stirring stick into the tin and it disappears. Work out the maximum length of the stick.
  • The tire
    cars The tire of a car has a radius of 10.5 inches. How many revolutions does the tire need to make for the car to travel 13,200 inches? Round to the nearest whole revolution.
  • The base
    lich_hranol The base of the quadrilateral prism is a trapezoid with a content of 75 cm square. The prism is 6 cm high. Find the volume of the prism.
  • Circle inscribed
    vpisana There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
  • Bridge diagonally across the river
    bridge The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river.
  • Semicircle
    ornament The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds.
  • The isosceles
    rr_lichobeznik The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid?
  • Touch circle
    dotyk_kruznica Point A has a distance IA, kl = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
  • The perimeter
    rr_triangle2 The perimeter of the triangle is 24, the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
  • Colorado
    Colorado The state Colorado has the shape of a rectangle. The map is sold on 2 posters. The first has dimensions of 70 cm and 50 cm in a scale of 1: 1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster?
  • Dimensions 3
    rectangle A perimeter of a rectangular field is 96 meters. The length is four meters less than three times the width. Find the length and width (its dimensions).
  • Approximation of tangent fx
    tangetns What is the non-trig formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree), tan( 2 degrees) continuing up to tangent(45 degrees)? okay to use pi Check calculation for 12°
  • Alexandra
     rectangular quilt Alexandra made a rectangular quilt the measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve.
  • Frame image
    picture_frame Peter wants to put a picture in a frame. The picture is 7 3/5 cm wide. To fit in the picture frame cannot be more than 7 3/10 cm wide. How much should the image be trimmed?

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