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Kryger [21]
2 years ago
15

Given circle with radius of 5cm. Find out (a) diameter (b) perimeter (c) area

Mathematics
1 answer:
lidiya [134]2 years ago
8 0

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter d use formula:

                                               d=2*r

After substituting  r=5 we have:

                                             d=2*5\\d=10

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference C use formula:

                                                  C=2*r*\pi

After substituting r=5 we have:

                                          C=2*5*\pi

                                           C=10\pi

Convert 10\pi to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

⇒ 31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area A use the formula:

                                            A=r^2*\pi

After substituting  r=5 we have:

                                           A=5^2*\pi \\A=25*\pi \\A=25\pi

Convert 25\pi to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

⇒ 78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

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Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

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Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

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Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

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...22x +17x = 78 . . . . . . simplify a little bit

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The method of elimination used here will vary with the system of equations. If you want to employ a consistent method, you can use Cramer's Rule, Gaussian elimination, or matrix methods. Since you apparently don't mind help from technology, learning to do this on your graphing calculator can also be a good idea.

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<EFD= 47.5°

<CFD=47.5°

Step-by-step explanation:

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