## anonymous one year ago 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

1. anonymous

A.45 B.135 C.225 D.315 E.450

2. moazzam07

U know full angle of a circle is=360degree

3. mathstudent55

$$\Large A_{sector} = \dfrac{\theta}{360^o} \pi r^2$$

4. moazzam07

Let the angle makes by ur given sector is= theta

5. moazzam07

area of s circle is=pi*r^2

6. 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).

7. moazzam07

3.14*4^2=?

8. moazzam07

Required formula is 360/theta=50.24/12.56 Theta=?

9. anonymous

thx for helping out guys

10. 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 $$\theta$$.

11. moazzam07

np

12. mathstudent55

You're welcome.

13. moazzam07

@mathstudent55 come on man medal me back

14. anonymous

15. anonymous

@mathstudent55

16. mathstudent55

What did you get?

17. anonymous

i got .625

18. mathstudent55

$$\Large \dfrac{125.6~cm^2(360^o)}{3.14(64 ~cm^2)} = \theta$$

19. mathstudent55

You forgot to multiply by $$360^o$$

20. anonymous

ooooooooooh

21. anonymous

i did it wrong

22. anonymous

thx