anonymous
  • anonymous
The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of π is 3.14. The measure of the angle of the sector is
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
A.45 B.135 C.225 D.315 E.450
moazzam07
  • moazzam07
U know full angle of a circle is=360degree
mathstudent55
  • mathstudent55
\(\Large A_{sector} = \dfrac{\theta}{360^o} \pi r^2\)

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moazzam07
  • moazzam07
Let the angle makes by ur given sector is= theta
moazzam07
  • moazzam07
area of s circle is=pi*r^2
mathstudent55
  • mathstudent55
You know A = 125.6 cm^2, r = 8 cm, pi = 3.14. Enter all those values in the formula above and solve for the angle \(\theta\) (Greek letter theta).
moazzam07
  • moazzam07
3.14*4^2=?
moazzam07
  • moazzam07
Required formula is 360/theta=50.24/12.56 Theta=?
anonymous
  • anonymous
thx for helping out guys
mathstudent55
  • mathstudent55
\(\Large A_{sector} = \dfrac{\theta}{360^o} \pi r^2\) \(\Large 125.6~cm^2 = \dfrac{\theta}{360^o} (3.14)(8~cm)^2\) Solve for \(\theta\).
moazzam07
  • moazzam07
np
mathstudent55
  • mathstudent55
You're welcome.
moazzam07
  • moazzam07
@mathstudent55 come on man medal me back
anonymous
  • anonymous
wait my answers arent adding up
anonymous
  • anonymous
mathstudent55
  • mathstudent55
What did you get?
anonymous
  • anonymous
i got .625
mathstudent55
  • mathstudent55
\(\Large \dfrac{125.6~cm^2(360^o)}{3.14(64 ~cm^2)} = \theta\)
mathstudent55
  • mathstudent55
You forgot to multiply by \(360^o\)
anonymous
  • anonymous
ooooooooooh
anonymous
  • anonymous
i did it wrong
anonymous
  • anonymous
thx

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