geometry

A regular hexagon with a perimeter of 24 units is inscribed in a circle. Find the radius of the circle. 

  1. 👍
  2. 👎
  3. 👁
  1. A hexagon consists of 6 equilateral triangles.
    Therefore the side of each triangle is 24/6=4 units which also equals the radius of the circumscribed circle.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. help hexagon geometry

    A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon? Express your answer as a common

  2. math

    the area of a regular hexagon is given as 384√3 a. how long is each side of a hexagon b. find the radius of a hexagon c. find the apothem of a hexagon

  3. Geometry

    Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer. Question 1: A regular pentagon has

  4. math

    A regular polygon is inscribed in a circle of radius 9 cm. Calculate the perimeter of the polygon to the nearest tenth if the polygon has 6 sides.

  1. Solid Mensuration

    The area of a regular hexagon inscribed in a circle is equal to 166.28 square cm. If the circle is inscribed in a square, find the difference between the area of the square and the hexagon.

  2. math

    An equilateral triangle and a regular hexagon share a common side. The perimeter of the triangle is 20 cm. What is the perimeter of the hexagon?

  3. geometry

    Answer has to be in exact form. Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

  4. math

    A regular hexagon is drawn inside of a circle so that each of its vertices touches the circle. The diameter of the circle is 4 centimeters and the perimeter of the hexagon is 12 centimeters. How much longer is the circumference of

  1. geometry

    find the ara of a regular octagon inscribed in a circle with a radius of 1 cm.

  2. Math please helppp

    1 Find the missing angle measure in the polygon A ] 77 B ] 87 C ] 97 D ] 107 i think its b 2 Find the sum of the interior angles in 10 - sided polygon A ] 1,260 B ] 1,440 c ] 1,620 d ] 1,800 i think its c or b 3 Find the measure

  3. Geometry / Trig

    What is the area of a regular hexagon with a distance from its center to a vertex of 1 cm? (Hint: A regular hexagon can be divided into six equilateral triangles.) hex The area of the regular hexagon is _____ ?

  4. Solid Geometry

    Find the Lateral area in cm square of the following right pryramid. 1. Base is regular octagon of side 20cm and altitude of 20cm. 2. Base is regular hexagon of side 20cm and altitude of 30cm. 3. Base is regular hexagon of side

You can view more similar questions or ask a new question.