Determine the total number of pentagons (both simple and composite) formed in a standard regular five-pointed star geometric figure.
- A8
- B10
- C5
- D6
Solution & Step-by-step Explanation
In a standard regular five-pointed star (pentagram):
1. There is exactly 1 central regular pentagon formed by the inner intersection lines.
2. There are 5 larger composite pentagons. Each large pentagon is formed by combining the inner central pentagon with two adjacent outer triangular points of the star.
Total number of pentagons = .
1. There is exactly 1 central regular pentagon formed by the inner intersection lines.
2. There are 5 larger composite pentagons. Each large pentagon is formed by combining the inner central pentagon with two adjacent outer triangular points of the star.
Total number of pentagons = .