a.
To calculate: The measure of
The resultant answer is
Given information:
A regular pentagon in inscribed in a circle of radius 10 cm.
Formula used: The sum of interior angles of a regular
Calculation:
The given regular polygon is a pentagon which means it has 5 sides then the value of n is 5.
Use the sum formula of interior angles:
Substitute the value of n ,
The measure of each angle of the pentagon is:
The measure of
Now consider the triangle
Therefore, the value is
b.
To calculate: The length of the diagonal
The resultant answer is
Given information:
The given pentagon is:
Formula used: In a triangle
Calculation:
Consider that
From cosine theorem,
From part (a)
Length of
Therefore, the length of
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education