Chapter 10.2, Problem 7PSB

a)

To determine

The area of the circle.

Answer to Problem 7PSB

  $283.64{\text{cm}}^2$

Explanation of Solution

Given : $\text{To the nearest hundredth, we need to calculate and diameter is 19 cm}\text{.}$

Concept Used:

Calculation:

  $\begin{array}{l}\text{Radius = }\frac{\text{Diameter}}{\text{2}}\\ \text{Therefore, radius = }\frac{\text{19}}{\text{2}}=9.5\text{cm}\\ \text{Area of circle is given by }\pi {\text{r}}^{\text{2}}\\ \text{Therefore, Area = }\frac{\text{22}}{\text{7}}\times (9.5)=283.6428\\ \text{Nearest hundreadth, area is 283}\text{.64}{\text{cm}}^{\text{2}}\end{array}$

b)

To determine

The circumference of circle.

Answer to Problem 7PSB

  $59.71\text{cm}$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Radius is 9}\text{.5 cm}\\ \text{Circumference of circle is given by 2}\pi \text{r}\text{.}\\ =2\times \frac{22}{7}\times 9.5=59.71428\\ \text{Nearest hundredth 59}\text{.71 cm}\end{array}$