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2 years ago

Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!

Mathematics

1 answer:

ollegr [7]2 years ago

7 0

9514 1404 393

Answer:

A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

A = πr²

A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

A = 1/2bh

A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

<em>Additional comment</em>

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

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