Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kcla1996

  • one year ago

Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon. A. 72°; 252° B. 36°; 216° C. 45°; 67.5° D. 40°; 230°

  • This Question is Closed
  1. kcla1996
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    help???

  2. Directrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @kcla1996 Circles can be circumscribed about and inscribed regular polygons. Hence, some of the terminology associated with circles turns up in the study of regular polygons.

  3. Directrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The radius of a regular octagon is the radiusof the circle that can be circumscribed about it. On the attached figure above, you see <1 as an angle formed by consecutive radii. A complete circle rotations is 360 degrees and there are 8 central angles, all congruent. So angle 1 has measure 360/8 = ?

  4. Directrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Once you get the measure of angle 1, then the angle formed by a radius and a side of the octagon is one of the two base angles of the isosceles triangle of which angle 1 is the vertex angle. Recall that the sum of the angle measures of a triangle is 180 and that base angles of an isosceles triangle are congruent and you will have the angle for part b.

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.