Question

Part Acalculate the exact area of the shape IN TERMS OF PIA = kcm²Part B calculate the approximate area of the shape using 3.14 for PI

Answer 1

`\begin{gathered} \text{Area of the shape=100}\pi cm^2\text{ ( in terms of pi)} \\ \text{Area of the shape=314}cm^2\text{ } \\ \end{gathered}`

Step-by-step explanation

Step 1

Part A

the shape is a quarter of a circle , so

`\begin{gathered} \text{Area of the shape=}\frac{area\text{ of the circle}}{4} \\ \text{Area of the shape=}(\pi\cdot radius^2)/(4) \\ \text{replace} \\ \text{Area of the shape=}(\pi\cdot(20cm)^2)/(4) \\ \text{Area of the shape=}(\pi\cdot400cm^2)/(4) \\ \text{Area of the shape=100}\pi cm^2\text{ ( in terms of pi)} \end{gathered}`

Step 2

Part b

calculate the approximate area of the shape using 3.14 for PI​

Let

pi=3.14

replace,

`\begin{gathered} \text{Area of the shape=100}\pi cm^2\text{ ( in terms of pi)} \\ \text{Area of the shape=(100}\cdot3.14)cm^2\text{ } \\ \text{Area of the shape=314}cm^2\text{ } \end{gathered}`

I hope this helps you