Chapter 10.4, Problem 30E

To determine

To calculate the area of figure to whole number.

Answer to Problem 30E

44

Explanation of Solution

Given Information: Diameter = 6, Length = 6 and Width = 5

Formula Used:Area of semi-circle = $\frac{\pi \times r^2}{2}$ , Area of Rectangle = $Length\times Width$ , $\pi =\frac{22}{7}$ , $radius=\frac{diameter}{2}$

Calculation:

Diameter = d, Radius = r.

Now, diameter is of 6

So, $radius=\frac{diameter}{2}$

Put the value of diameter to find the radius.

  $radius=\frac{6}{2}$

Hence,

  $radius=3$

Area of figure = Area of Rectangle + Area of semi-circle

Area of figure = $Length\times Width$ + $\frac{\pi \times r^2}{2}$

Put values of Length, Width and Radius to find area of figure.

Area of figure = $6\times 5$ + $\frac{\pi \times 3^2}{2}$

So,

Area of figure = $30$ + $\frac{\pi \times 9}{2}$

Now, $\pi =3.14$

Put the value of $\pi$ to find the area

Area of figure = $30$ + $\frac{3.14\times 9}{2}$

Hence,

Area of figure = 44.13

Nearest Area of figure = 44