Chapter 12.2, Problem 5MRE

To determine

To complete: the given table by finding radius, area and circumference of circle.

Answer to Problem 5MRE

The complete table is given below.

Explanation of Solution

Given information:

An incomplete table with entities radius, area and circumference of a circle is given below.

Radius
Circumference	$10\pi$
Area

Calculation:

Write the expression to calculate the circumference of the circle.

  $\text{Circumference of circle}=2\pi r$

Where,

• $r$ is radius of the circle.

Write the expression to calculate the area of the circle.

  $\text{Area of circle}=\pi r^2$

Calculate the radius and area of the circle when circumference is $10\pi$ .

  $\begin{array}{c}\text{Circumference of circle}=2\pi r\\ \text{10}\pi =2\pi r\\ r=5\end{array}$

and,

  $\begin{array}{l}\text{Area of circle}=\pi r^2\\ =\pi {\left(5\right)}^2\\ =25\pi \end{array}$

Therefore, the complete the table by entering calculated values.

Radius	$5$
Circumference	$10\pi$
Area	$25\pi$