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mel-nik [20]
4 years ago
9

Find the area of the shape.

Mathematics
2 answers:
siniylev [52]4 years ago
8 0
Hope this helps with the answer to your question ;)

Rzqust [24]4 years ago
3 0

Answer:

9.42 square units

Step-by-step explanation:

central \:  \angle \: ( \theta) = 90 \degree  \\ radius \: (r) = 2 \: units \\ Area \: of \: sector =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\  \\ =  \frac{ 90 \degree}{360 \degree}  \times \pi \times  {2}^{2}  \\  \\ =  \frac{ 1}{4}  \times \pi\times 4 \\  \\  =\pi  \:  {units}^{2}

Area of shape = Area of circle - Area of sector

= \pi r^2 - \pi\\=\pi(r^2 -1)\\=3.14(2^2 -1)\\=3.14(4 -1)\\=3.14\times 3\\= 9.42\: units^2 \\

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