Multiple Choice
Which equation would you use to calculate the rate of a reaction?
1
views
6. Thermodynamics and Kinetics
Energy Diagram
2:22 minutesProblem 43
Textbook Question
The bond angles in a regular polygon with n sides are equal to 180° - 360°/n
a. What are the bond angles in a regular octagon?
b. What are the bond angles in a regular nonagon?
Verified step by step guidance1
Step 1: Understand the formula for bond angles in a regular polygon. The bond angle is given by the formula: , where n is the number of sides of the polygon.
Step 2: For part (a), substitute n = 8 (since an octagon has 8 sides) into the formula. The bond angle becomes: .
Step 3: Simplify the fraction to find the value of the term to subtract from 180°.
Step 4: For part (b), substitute n = 9 (since a nonagon has 9 sides) into the formula. The bond angle becomes: .
Step 5: Simplify the fraction to find the value of the term to subtract from 180°.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
2mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Polygon Interior Angles
In geometry, the interior angles of a polygon are the angles formed between two adjacent sides. For a regular polygon, all interior angles are equal. The formula for calculating the measure of each interior angle is derived from the total sum of the interior angles, which is (n-2) × 180°, where n is the number of sides.
Recommended video:
Guided course
02:46
What is angle strain?
Regular Polygon
A regular polygon is a polygon with all sides and all angles equal. This symmetry allows for straightforward calculations of angles and side lengths. For example, in a regular octagon, all eight sides are of equal length, and all interior angles are congruent, making it easier to apply geometric formulas.
Recommended video:
Guided course
11:54Inscribed Polygon Method
Angle Calculation Formula
The formula for calculating the bond angles in a regular polygon is given by 180° - 360°/n, where n is the number of sides. This formula accounts for the fact that as the number of sides increases, the interior angles approach 180°, resulting in a more 'circle-like' shape. This is crucial for determining the angles in polygons like octagons and nonagons.
Recommended video:
Guided course
00:46Calculating IHD using molecular formula
Related Videos
Related Practice