Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 72m. Find the area of the shaded reg

Question

masya89 [10]

2 years ago

13

Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 72m. Find the area of the shaded reg

ion. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Mathematics

2 answers:

MArishka [77] · Answer 1 · 2023-08-01T04:46:25+03:00

<h2>Step-by-step explanation:</h2>

<h3>Width of rectangle = 7 cm</h3>

<h3>because ∵ width of rectangle is equal to the radius of each semicircle.</h3>

<h3>therefore ∴ radius of each semicircle (r) = 7 cm.</h3>

<h3>therefore ∴ Diameter of each semicircle = 14 cm</h3>

<h3>therefore ∴ Length of rectangle = 3 x 14 = 42 cm.</h3>

<h2>Answer:</h2>

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andreyandreev [35.5K] · Answer 2 · 2023-08-01T06:45:40+03:00

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