Answer to Question #223006 in Geometry for Cheryl-Ann

Question #223006

A regular octagon of side 10 is inscribed in a circle. Find the radius of the circle.

Expert's answer

"\\alpha=360\\degree\/8=45\\degree"

The Law of Cosines

"10^2=r^2+r^2-2r^2\\cos45\\degree"

"r^2=\\dfrac{100}{2-\\sqrt{2}}"

"r=10\\sqrt{1+\\dfrac{\\sqrt{2}}{2}}"

Learn more about our help with Assignments: Geometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. 1.design an activity that will enable learners to discover the formula for the area of a circle. 2.
2. 1.Give two reasons why we have to teach estimation as part of measurement. 2.DIfferent techniques
3. 1.name two different instruments that can be used to measure time. 2.what is a cubit, and what does
4. Critically review the progression from grade 4 to grade 6 for each of the seven topics under the co
5. Draw up an activity that will enable learners to develop a formula for calculating the area of a tra
6. Name different types of triangles illustrate how you can introduce each triangle to the Foundation p
7. Surface area of a cube is 27 square centimeters. Calculate the length of the sides of the cube