Tropics and polar zones

What percentage of the Earth’s surface lies in the tropical, temperate and polar zone?
Individual zones are bordered by tropics 23°27' and polar circles 66°33'

Correct result:

p1 =  39.7949 %
p2 =  51.9459 %
p3 =  8.2592 %


T=23+27/60=46920=23.45 P=66+33/60=133120=66.55  r=1 cos(90P)=x1:r x1=r cos((90P) rad)=r cos((90P) π180 )=1 cos((9066.55) 3.1415926180 )=0.91741 h1=rx1=10.91740.0826  cos(90T)=x2:r x2=r cos((90T) rad)=r cos((90T) π180 )=1 cos((9023.45) 3.1415926180 )=0.39795 h2=rx2=10.39790.6021  S1=2π r h1=2 3.1416 1 0.08260.5189 S2=2π r h2=2 3.1416 1 0.60213.7828  S3=2π r2=2 3.1416 126.2832  p1=100 S3S2S3=100 6.28323.78286.2832=39.7949%
p2=100 S2S1S3=100 3.78280.51896.2832=51.9459%
p3=100 S1S3=100 0.51896.2832=8.2592%

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 0 comments:

Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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

Next similar math problems:

  • Tropical, mild and arctic
    tropic How many percents of the Earth's surface lies in the tropical, mild and arctic range? The border between the ranges is the parallel 23°27 'and 66°33'.
  • Triangles
    triangles_6 Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
  • Spherical cap
    gulovy_odsek Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm2. Determine the radius r of the sphere from which the spherical cap was cut.
  • Spherical cap 4
    spherical cap What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula.
  • Above Earth
    aboveEarth To what height must a boy be raised above the earth in order to see one-fifth of its surface.
  • Spherical cap
    koule2 What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
  • What percentage
    astronaut What percentage of the Earth’s surface is seen by an astronaut from a height of h = 350 km. Take the Earth as a sphere with the radius R = 6370 km
  • Airplane
    tu-144 Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
  • Fighter
    vyskovy uhol A military fighter flies at an altitude of 10 km. From the ground position, it was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
  • Pilot
    aircraft-02_12 How high is the airplane's pilot to see 0.001 of Earth's surface?
  • Spherical cap
    kulova_usec From the sphere of radius 11 was truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
  • RWY
    SFO_map Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
  • The spacecraft
    Sputnik_670 The spacecraft spotted a radar device at altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considered a
  • What is
    dices2 What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. .. . 31 32. .. . . . . . .. . 66, count them, it's the variable n variable m: 36, 63,. .. .
  • Water channel
    trapezium_prism_2 The cross section of the water channel is a trapezoid. The width of the bottom is 19.7 m, the water surface width is 28.5 m, the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flo
  • Spherical cap
    Spherical_cap The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut.
  • Tetrahedral pyramid
    ihlan Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30´.