Question

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Answer 1

`A=16\pi\ units^(2)`

`A=50.24\ units^(2)`

Explanation:

we know that

The shape of the figure is a quarter of circle

so

The area of the figure is equal to the area of a circle divided by 4

`A=(1)/(4)\pi r^(2)`

we have

`r=8\ units`

substitute

`A=(1)/(4)\pi (8)^(2)`

`A=16\pi\ units^(2)` ----> exact answer

assume

`\pi =3.14`

`A=16(3.14)=50.24\ units^(2)` ----> decimal answer