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adoni [48]
3 years ago
11

If A=(0,0) and B=(6,3), what is the length of AB?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

<h2>3√5 units</h2>

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

ab =  \sqrt{ {(x2 - x1)}^{2}  + (y2 - y1) ^{2} }  \\  \:  \:  \:  =  \sqrt{ {(6 - 0)}^{2} +  {(3 - 0)}^{2}  }  \\  \:  \:  \:  =  \sqrt{ {(6)}^{2}  + {(3)}^{2} }  \\  \:  \:  \:  \:  =  \sqrt{36 + 9}  \\  \:  \:  \:  \:  =   \sqrt{45}  \\  \:  \:  \:  = 3 \sqrt{5 }  \: units

Hope this helps...

Good luck on your assignment..

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measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
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