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Nastasia [14]
2 years ago
13

Find the area of the yellow region.

Mathematics
1 answer:
Digiron [165]2 years ago
3 0

Answer:

A = 3.9 in²

Step-by-step explanation:

To find the area of the shaded region, you need to find the (1) area of the entire square, then (2) find the area of the 1/2 circles, then (3) subtract them and divide by 2. Because the 1/2 circles are identical, you can combine them and just use the circle area equation.

Area of the Square:

A = l x w

A = 6 in x 6 in

A = 36 in²

Area of Combined 1/2 Circles:

A = πr²

r = 6 in / 2

r = 3 in

A = π(3)²

A = 9π  ----->  28.3 in²

Area of Shaded Region:

A = (Area Square - Area Circle) / 2

A = (36 in² - 28.3 in²) / 2

A = 7.7 in² / 2

A = 3.9 in²

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It states that a line with endpoint coordinates as - (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) has its mid - point at the coordinates -

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According to question, we have -

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Using the Mid - Point formula, we get -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) =

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M(- 7.5, 0.5)

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