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Assoli18 [71]
2 years ago
6

The perimeter of a shape is 25.71 cm calculate the value of the radius X takes pie to be 3.142

Mathematics
1 answer:
Mariulka [41]2 years ago
3 0

Answer:

5 cm

Step-by-step explanation:

Given a semicircle with perimeter 25.71 cm, we are required to find the radius of the circle.

Circumference of a Semicircle

=Length of the Circular part+Length of the diameter

=\pi r+2r

If \: \pi=3.142, C=25.71\\Then:\\25.71=3.142r+2r\\r(3.142+2)=25.71\\5.142r=25.71\\r=25.71 \div5.142\\r=5cm

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To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

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We can also check this with the original problem.

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