find the ara of a regular octagon inscribed in a circle with a radius of 1 cm.
I'm thinking that since the octagon is made up of eight equal size triangles with one of the sides being 1 cm.
Then find the area of one triangle which has all sides equal to 1 cm. then multiply answer by 8 and that should give you total area of octagon.
hope this helps.
To find the area of a regular octagon inscribed in a circle with a radius of 1 cm, you can follow these steps:
1. Determine the side length of the octagon.
- The side length of a regular octagon can be found by dividing the circle's radius by the square root of 2.
- In this case, the circle's radius is 1 cm, so the side length of the octagon would be 1 cm divided by the square root of 2.
2. Calculate the area of one of the isosceles triangles within the octagon.
- The isosceles triangle is formed by two adjacent sides of the octagon and a radius of the circle.
- The area of an isosceles triangle can be found using the formula: (base * height) / 2.
- In this case, the base would be the side length of the octagon and the height would be the radius of the circle.
3. Multiply the area of one of the isosceles triangles by 8 to get the total area of the octagon.
- Since a regular octagon has 8 identical isosceles triangles, multiplying the area of one triangle by 8 would give you the total area of the octagon.
By following these steps, you should be able to find the area of a regular octagon inscribed in a circle with a radius of 1 cm.