# Working With Circle Q

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Jun 28, 2022.

1. ### nycmathguy

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nycmathguy, Jun 28, 2022
2. ### MathLover1

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given:
ST=1/2 (SR)
SR=a (diameter)
hint: draw QT

=>ST=1/2 (a)=a/2 (radius)
then we know that SQ=a/2 and QT=a/2
=> triangle SQT is an equilateral triangle, so all angles are equal and each measures 45°

a. m (ST)

Length of the arc (ST)= 2πr(theta/360°)

in your case r=a/2

(ST)=2π(a/2)(45°/360°)

(ST)=(2r*π)/8=(r*π)/4

(ST)=(a*π/2)/4

(ST)=(a*π)/8

b. m (TR)=circumference/2-ST= 2π-(a*π)/8=π (16 - a)/8

c. m (STR)=circumference/2 =(2(a/2)π)/2=(aπ)/2

answers:

a. m (ST)= (a*π)/8
b. m (TR)=π (16 - a)/8
c. m (STR)=(aπ)/2
d. m (S)= 45°

MathLover1, Jun 28, 2022
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3. ### nycmathguy

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I know we are not studying geometry now. I just wanted to know how much of this material you are familiar with. I definitely will study geometry in a much deeper sense of the word in the near future.

nycmathguy, Jun 29, 2022
4. ### MathLover1

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did you forgot that I am math teacher

MathLover1, Jun 29, 2022
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5. ### nycmathguy

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You were a math teacher but now you are retired. How do you keep yourself from forgetting this stuff taught years ago?

nycmathguy, Jun 29, 2022
6. ### MathLover1

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a math teacher does not forget everything when retires

MathLover1, Jun 29, 2022
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7. ### nycmathguy

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Read what I said about Soroban and MarkFL.

nycmathguy, Jun 29, 2022
8. ### MathLover1

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who are they?

MathLover1, Jun 29, 2022
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9. ### nycmathguy

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Two great guys from other forums. Now, I last heard from Soroban in 2006. He was 75 years old at the time. Can we say Soroban is no longer with us?
MarkFL ended contact with me a few years ago. He hates God as much as you do. In fact, Mark does not believe there is a God or an afterlife.

nycmathguy, Jun 29, 2022
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