Chapter 10, Problem 14CR

To determine

To find the Area and Circumference of the circle

Answer to Problem 14CR

  $circumference=50inches$ , $area=201i{n}^2$

Explanation of Solution

Given information:

  $diameter=16inches$

Formula used:

  $circumference=2\pi r,area=\pi r^2$

Calculation: calculate radius using formula

  $r=\frac{d}{2}=\frac{16}{2}$

Radius is

  $r=8inches$

Circumference of the circle is

  $2\pi r=2\times \frac{22}{7}\times 8=\frac{352}{7}$

Calculating it further

  $circumference=50inches$

Now calculating the area of the circle

  $area=\pi r^2$

Substituting the value of $r$

  $\frac{22}{7}\times 8\times 8$ = $\frac{1408}{7}$

Hence, area of the circle is

  $area=201i{n}^2$