a.
To write an equation to find the dimensions of a square.
Given:
Radius of
Area of square = Area of circle
Formula Used:
Area of circle
Area of square
Calculation:
Finding the area of circle as:
Let the side of square
Now, the area of square is:
As these two areas are equal, the expression for
b.
To calculate the length of a side of the square.
The length of the side of a square is
Given:
The equation is:
Calculation:
Rewriting the equation as:
Taking square root on both sides as:
The side of a square could be positive, so that the length of the side of a square is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- 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