Circle and hexagon

Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference.

Correct answer:

r =  29.66 cm

Step-by-step explanation:


2•pi•r = 8.4 + 6r

2•π•r = 8.4 + 6•r

0.283185r = 8.4

r = 29.662556

Our simple equation calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

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

Related math problems and questions:

  • Hexagon in circle
    hexagon Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle.
  • Hexagon A
    hexagon Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
  • Hexagon
    sestuholnik Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
  • Hexagon 5
    hexagon The distance of parallel sides of regular hexagonal is 61 cm. Calculate the length of the radius of the circle described to this hexagon.
  • Nine-gon
    9gon Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 13 cm.
  • Regular n-gon
    regular_polygons Which regular polygon have a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
  • Pentagon
    5gon Calculate the length of side, circumference and area of a regular pentagon, which is inscribed in a circle with radius r = 6 cm.
  • Hexagon ABCDEF
    hexagon In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.
  • 6-gon
    hexagons Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
  • 30-gon
    30gon At a regular 30-gon the radius of the inscribed circle is 15cm. Find the "a" side size, circle radius "R", circumference, and content area.
  • Hexagonal pyramid
    hexa_pyramid Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
  • 6 regular polygon
    hexagon It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm2 (square centimeters) has a circle in which is inscribed the 6-gon.
  • n-gon
    x-gon What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
  • Rhombus and inscribed circle
    rhombus It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
  • Ratio of sides
    described_circle2 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.
  • Pentadecagon
    220px-Regular_polygon_15_annotated.svg Calculate the content of a regular 15-sides polygon inscribed in a circle with radius r = 4. Express the result to two decimal places.
  • Hexagon area
    hexagon The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.