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

Match the correct answers, don't mind the numbers I got wrong there.-example-1
User Toxinlabs
by
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1 Answer

3 votes
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}

User Alex Jenter
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