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alisha [4.7K]
3 years ago
12

If the radius of circle A is 6 units, calculate the area of the shaded region...

Mathematics
1 answer:
meriva3 years ago
4 0

The formula of an area of a triangle:

A_{\triangle}=\dfrac{base\cdot height}{2}

We have:

\triangle_{FDE}:\ base=height=1\\\triangle_{GDH}:\ base=height=9

substitute:

A_{\triangle_{FDE}}=\dfrac{1\cdot1}{2}=0.5\\\\A_{\triangle_{GDH}}=\dfrac{9\cdot9}{2}=40.5

The formula of an area of a circle:

A_O=\pi r^2

We have r=6

Substitute:

A_O=\pi\cdot6^2=36\pi\approx36\cdot3.14=113.04

The area of the shaded region

A=A_O-(A_{\triangle_{FDE}}+A_{\triangle_{GDH}})\\\\A=113.04-(0.5+40.5)=113.04-41=72.04\ u^2

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Just try to remember PEMDAS.

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