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avatar+88 

I have attempted these two questions and gotten the answers, in decmial, which are: 25.13, and 57.95 respectively. Are they correct?

 May 3, 2021
edited by grs75  May 3, 2021
 #1
avatar+2407 
+1

5. 

12, 12 angle of 20. 

To find the other one, law of cosines. 

x^2 = 12^2+12^2 - 2*12*12*cos(20 degrees)

x^2 = 17.3685252137

x = 4.16755626401

 

Oh no, it looks like we got different answers. :((

 

=^._.^=

 May 3, 2021
 #2
avatar+88 
+1

It's solving for the area of the green section. And I think I've got the answer now.

grs75  May 3, 2021
 #3
avatar+2407 
+1

oopsies

In that case, 20/360*12*12*pi-12*12*sine(20 degrees)/2. 

 

=^._.^=

catmg  May 3, 2021
 #4
avatar+1694 
+3

5)         R = 12         ∠θ = 120º    (NOT 20 cheeky)

 

Chord     C = 2[ sqrt(122 - 62)]

 

But..., if   ∠θ = 20º  then the answer is "slightly" different:

 

C = 2[sin(10º) * 12]   ==>      24 sin(10º) laugh

 May 3, 2021
edited by civonamzuk  May 3, 2021

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