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Brut [27]
3 years ago
6

Below is the justification for the formula for area of a circle. Which word, when placed in the blank best completes this argume

nt?

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

The correct answer is option A.  r

Step-by-step explanation:

From the figure we can see a circle and a parallelogram.

The circle is divided into a small sectors and these sector then arranged into a parallelogram.

The base of the parallelogram is half the circumference.

The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.

Therefore the correct answer is option A.   r

lapo4ka [179]3 years ago
8 0

Answer:

A. r

Step-by-step explanation:

We are given that justification for the formula of area of a circle.

We have to fill the right word in the blank which make best completes this argument

Let the radius of circle =r cm

The circumference of circle ==2\pi r

Circle divided into number of sector of equally sized and the sector can be re arranged in the form of a shape which is approximately  a parallelogram.

The base of parallelogram is equal to half of circumference

Base of parallelogram=\pi r

The height of parallelogram is equal to radius of circle

Height of parallelogram =r cm

Area of parallelogram=base\times height

Area of parallelogram=\pi\timesr\times r=\pi r^2

Therefore, the area of circle is given by the formula =\pi r^2

Hence, option A is true.

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Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th
Arturiano [62]

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

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The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

5 0
3 years ago
!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
USPshnik [31]

Answer:

rectangular prism

Step-by-step explanation:

The sides fold up into a rectangular shaped box, or a prism. Hope this helps!

4 0
3 years ago
1: 2(y+6)=?<br> 2: 6-(-6+2)=?<br> What is the property of equation?
Citrus2011 [14]
1: 2y+12

2: 6 +6 -2
+12 -2
= 10
5 0
3 years ago
What is the answer to this ? PLEASE HELP I HAVE 3 minutes
inn [45]

Answer:

(2, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x

x = -y + 6

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                     y = 2(-y + 6)
  2. Distribute 2:                         y = -2y + 12
  3. Isolate <em>y</em> terms:                    3y = 12
  4. Isolate <em>y</em>:                               y = 4

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    x = -y + 6
  2. Substitute in <em>y</em>:                       x = -4 + 6
  3. Add:                                        x = 2
3 0
3 years ago
PLease Help! I'm hopeless at math.
Furkat [3]

Answer:

It's B, I'm only trying my best since there is no picture.

Step-by-step explanation:

7 0
3 years ago
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