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garik1379 [7]
3 years ago
13

For my geometry class assignment

Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

C.

Step-by-step explanation:

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Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

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The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

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The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

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The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

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