Mathematics
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OpenStudy (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
10 years ago
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OpenStudy (anonymous):
A.45
B.135
C.225
D.315
E.450
10 years ago
OpenStudy (moazzam07):
U know full angle of a circle is=360degree
10 years ago
OpenStudy (mathstudent55):
\(\Large A_{sector} = \dfrac{\theta}{360^o} \pi r^2\)
10 years ago
OpenStudy (moazzam07):
Let the angle makes by ur given sector is= theta
10 years ago
OpenStudy (moazzam07):
area of s circle is=pi*r^2
10 years ago
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OpenStudy (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).
10 years ago
OpenStudy (moazzam07):
3.14*4^2=?
10 years ago
OpenStudy (moazzam07):
Required formula is
360/theta=50.24/12.56
Theta=?
10 years ago
OpenStudy (anonymous):
thx for helping out guys
10 years ago
OpenStudy (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 \(\theta\).
10 years ago
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OpenStudy (moazzam07):
np
10 years ago
OpenStudy (mathstudent55):
You're welcome.
10 years ago
OpenStudy (moazzam07):
@mathstudent55 come on man medal me back
10 years ago
OpenStudy (anonymous):
wait my answers arent adding up
10 years ago
OpenStudy (anonymous):
@mathstudent55
10 years ago
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OpenStudy (mathstudent55):
What did you get?
10 years ago
OpenStudy (anonymous):
i got .625
10 years ago
OpenStudy (mathstudent55):
\(\Large \dfrac{125.6~cm^2(360^o)}{3.14(64 ~cm^2)} = \theta\)
10 years ago
OpenStudy (mathstudent55):
You forgot to multiply by \(360^o\)
10 years ago
OpenStudy (anonymous):
ooooooooooh
10 years ago
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OpenStudy (anonymous):
i did it wrong
10 years ago
OpenStudy (anonymous):
thx
10 years ago