Question

Find the area of the shaded sector. Leave answers in terms of 20 cm

Answer 1

Answer:
`\text{Area = 50}\pi`Explanations:

The area of a sector is calculated by the formula:

`\begin{gathered} \text{Area = }(\theta)/(360)*\pi r^2 \\ \text{Where }\theta\text{ = the angle} \\ \text{r = the radius} \end{gathered}`

Substituting the values of θ, and r into the formula given above:

`\begin{gathered} \text{Area = }(45)/(360)*\pi*20^2 \\ \text{Area = }(400\pi)/(8) \\ \text{Area = 50}\pi \end{gathered}`