Question

Match the correct answers, don't mind the numbers I got wrong there.

Answer 1

Answer:

• Area of sector = 157 mm^2

,

• Area of triangle = 140 mm^2

,

• Area of segment = 17 mm^2

Step-by-step explanation:

The area of the sector is given as:

`\begin{gathered} A_s=(\theta)/(360)\pi r^2 \\ \\ =(45)/(360)(20^2)\pi \\ \\ =157mm^2 \end{gathered}`

The area of the triangle is:

`\begin{gathered} A_t=(1)/(2)(base* height) \\ \\ =(1)/(2)*20*14=140mm^2 \end{gathered}`

Area of the segment is given as:

`\begin{gathered} A=A_s-A_t \\ \\ =157mm^2-140mm^2=17mm^2 \end{gathered}`