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Brut [27]
3 years ago
11

FIND AREA OF SHADED SEGMENT. WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Mathematics
2 answers:
Xelga [282]3 years ago
3 0
By geometry,
area \: of \: shaded \: region \:  =  (\: area \: of  \: square \:  -  \: 2 \times (area \: of \: semi - circles)) \div 2
=  ({l}^{2}  - 2 \times \pi  \times {r}^{2} ) \div 2
l = 6 \\ r = l \div 2 = 3
= (36 - \pi \times  {3}^{2} ) \div 2
= 3.86
area of shaded region = 3.9
Katen [24]3 years ago
3 0

Answer is 3.87
1.First find entire square which is 36
2.Next find semi circle which is 14.13
3.Now multiply by two which is 28.26
4.Now subtract from 36 which is 7.74
5.Divide by 2 and your final answer is 3.87 sq inches

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gizmo_the_mogwai [7]

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

<h3>What is a Chord in Geometry?</h3>

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

<h3>What is the Congruent Chords Theorem?</h3>

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

Learn more about the congruent chords theorem on:

brainly.com/question/7511582

#SPJ1

4 0
2 years ago
Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices
geniusboy [140]

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are A(-2,0), B(2,5),C(3,1)

After reflection they become A(-2,0),B(2,-5),C(3,-1)

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

 

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