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Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 72m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Three semicircles are placed in a rectangle as shown below The length of the rectangle is 72m Find the area of the shaded region Use the value 314 for pi and do class=

Respuesta :

KuhuChoudhary

Step-by-step explanation:

Width of rectangle = 7 cm

because ∵ width of rectangle is equal to the radius of each semicircle.

therefore ∴ radius of each semicircle (r) = 7 cm.

therefore ∴ Diameter of each semicircle = 14 cm

therefore ∴ Length of rectangle = 3 x 14 = 42 cm.

Answer:

63.21cm'2

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Ver imagen KuhuChoudhary
Your answer is 1049.76

72 divided by 3= 24, 24 is your diameter of each semi circle

To find the area of your semi circles you’ll use pi times radius squared.

Aka 3.14 times 12^2 divided by 2 = 226.08

Times 3 for 3 semi circles

226.08 times 3= 678.24

Now find the area of the rectangle and you get the height from the semi circles which is 24m

72 times 24= 1,728m^2

Now you take the area of the rectangle and subtract the area of the circles

1,728 - 678.24 = 1,049.76m

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