Earth's circumference

Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.

Correct result:

x =  26728.102 km

Solution:

R=6378 km A=48+10/60=2896≐48.1667 ∘  cos⁡A=r/R  r=R⋅ cos⁡A∘=R⋅ cos⁡48.1666666667∘ =6378⋅ cos⁡48.1666666667∘ =6378⋅ 0.666966=4253.90952  x=2π⋅ r=2⋅ 3.1416⋅ 4253.9095=26728.102 kmR=6378 \ \text{km} \ \\ A=48+10/60=\dfrac{ 289 }{ 6 } \doteq 48.1667 \ ^\circ \ \\ \ \\ \cos A=r/R \ \\ \ \\ r=R \cdot \ \cos A ^\circ =R \cdot \ \cos 48.1666666667^\circ \ =6378 \cdot \ \cos 48.1666666667^\circ \ =6378 \cdot \ 0.666966=4253.90952 \ \\ \ \\ x=2 \pi \cdot \ r=2 \cdot \ 3.1416 \cdot \ 4253.9095=26728.102 \ \text{km}

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Next similar math problems:

  • Horizon
    lighthouse The top of a lighthouse is 19 m above the sea. How far away is an object which is just “on the horizon”? [Assume the earth is a sphere of radius 6378.1 km.]
  • Triangle - is RT?
    triangle_3_angles Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, side c is 31 cm longer than side a. Calculate the length of sides and determine whether triangle is a right triangle.
  • Find the 12
    circle_eq Find the equation of the circle with center (3,7) and circumference 8π units.
  • Three sides
    triangle_vysky_2 Side b is 2 cm longer than side c, side a is 9 cm shorter than side b. The triangle circumference is 40 cm. Find the length of sides a, b, c . .. .
  • Two parallel chords
    chords_equall The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle.
  • Cosine
    theta Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
  • Thales
    circles_1 Calculate the length of the Thales' circle described to right triangle with hypotenuse 44.2 cm.
  • Centre of mass
    centre_g_triangle The vertices of triangle ABC are from the line p distances 3 cm, 4 cm and 8 cm. Calculate distance from the center of gravity of the triangle to line p.
  • Circle inscribed
    inscribed345 Calculate the perimeter and area of a circle inscribed in a triangle measuring 3 , 4 and 5 cm.
  • Triangle
    star Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
  • The right triangle
    rt_triangle_1 In the right triangle ABC with right angle at C we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles.
  • Sphere cuts
    sphere_cut At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
  • Circle tangent
    thales_3 It is given to a circle with the center S and radius 3.5 cm. Distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p.
  • Circles
    three-circles Three circles of radius 95 cm 78 cm and 64 cm is mutually tangent. What is the perimeter of the triangle whose vertices are centers of the circles?
  • Chord - TS
    chord_TS The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
  • Cosine
    cosine The point (8, 6) is on the terminal side of angle θ. cos θ = ?
  • Flowerbed
    triangle_flowers.JPG Flowerbed has the shape of an isosceles obtuse triangle. Arm has a size 5.5 meters and an angle opposite to the base size is 94°. What is the distance from the base to opposite vertex?