answer:
4.5m²
explanation:
1. find area of the circle
A(circle)=πr²
A=π(2.3²)
A=16.62m²
2. find area of the square
the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.
A(square)=s²
A=4.6²
A=21.16m²
3. subtract the two areas
to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.
A(shaded)=21.16-16.62
A=4.54097487m²
(be sure to round as necessary)
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