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amid [387]
3 years ago
12

Michelle found the area of a circle as 78.5 . She used 3.14 for π. What is the radius of the circle? Explain how you found your

answer.
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

Answer:

r=5

Step-by-step explanation:

A circle is a geometric figure consisting of a shape established from a closed curved line. The circle has a main characteristic that is that all the points that are established from its center have the same distance to the line that serves as a perimeter, that is, they are equidistant. The center of the circle is coincident with the center of the circumference. The segment is known as the radius which allows the center to be connected to any point on the perimeter.

The area of a circle of radius r is given by:

A=\pi r^2

According to the problem:

A=78.5\\\pi=3.14

Using the previous equation, and the data provided, we will be able to find the radius of the circle:

78.5=3.14r^2

Solving for r:

r^2=\frac{78.5}{3.14} \\\\r^2=25\\\\r=\sqrt{25} \\\\r=\pm 5

Since a negative radius wouldn't have any sense. The radius of the circle is:

r=5

NikAS [45]3 years ago
3 0

Answer:

5 units

Step-by-step explanation:

Given:-

- The area of the circle was computed to be A = 78.5

- The value of π is estimated to be = 3.14

Find:-

What is the radius of the circle?

Solution:-

- The area of a circle (A) with radius ( r ) is computed by the following formula:

                            A = π*r^2

- Divide the equation by π :

                            r^2 = ( A / π )

- Take the square root of the entire equation:

                            r = √ ( A / π )

- Substitute the given values:

                           r = √ ( 78.5 / 3.14 )

- Resolve the fraction:

                          r = √25

- The perfect square root of 25

                         r = 5

Answer: The radius of the circle is r = 5 units

                         

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Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
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Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

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The volume of a pyramid with a square base is:

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<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

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lilavasa [31]
Use the Pythagorean theorem:

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Answer:

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Step-by-step explanation:

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