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4 years ago

Find the shaded area.

Mathematics

2 answers:

Ann [662]4 years ago

8 0

Answer: 13.7345175425633 square feet

The rounding instructions are cut off, so it's not clear how you want to round this.

========================================================

Explanation:

The area of the square is 8*8 = 64 square feet.

The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.

The shaded area is the result of taking the circle area away from the larger square area

shaded area = (area of large square) - (area of two semicircles)

shaded area = (area of large square) - (area of circle with radius 4)

shaded area = 64 - 16pi = exact value

shaded area = 13.7345175425633 = approximate value

OleMash [197]4 years ago

7 0

Answer:

13.73

Step-by-step explanation:

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$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

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Introduciendo la ecuación (2) y (3) en (4):

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Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

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3 years ago