## anonymous one year ago What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3.14 for π and round your answer to the nearest hundredth. - 0.65 inch - 1.13 inches - 6.80 inches - 390.01 inches

1. anonymous

2. anonymous

@wolf1728

3. Mertsj

65 degrees is 65/360 of the entire circle. The length of the entire circle is 2 pi r. Find 2 pi r and multiply it by 65/360

4. wolf1728

6-inch radius central angle = 65 degrees Circumference = 2*PI*6 Circumference = 37.70 The arc would be (65/360) of the circle or 0.18055556 0.18055556 * 6 = 1.083333 Rounding pi to 3.14 would make the answer 1.08

5. anonymous

The closest answer would 1.13 because it is closer

6. anonymous

Can you help with another

7. wolf1728

Wait I messed up answer is 0.18055556 * 37.70 = 6.806784 SORRY !!!

8. anonymous

oh thank you lol

9. anonymous

can you help with another

10. wolf1728

Here's a calcualtor to check it http://www.1728.org/radians.htm And I'll help with another

11. anonymous

The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

12. wolf1728

I don't exactly know know specifically what they mean by terminal side, standard position. MAYBE it's that angle starts at (0,0)?

13. anonymous

Hmmm.....

14. Mertsj

|dw:1437271081791:dw|

15. Mertsj

$\sin =\frac{o}{h};\cos =\frac{a}{h};\tan =\frac{o}{a}$

16. wolf1728

That's what I thought Mertsj (the graphic)

17. Mertsj

Remember, sin is positive in Quadrant II cos and tan are negative in Quadrant II

18. anonymous

I am lost

19. Mertsj

What is the definition of the sine of an acute angle of a right triangle?

20. anonymous

sin

21. anonymous

sin $\sin$

22. anonymous

Sorry can't make the sign with the os

23. Mertsj

Just finish this: $\sin x =$

24. Mertsj

Use these terms: side opposite, side adjacent, or hypotenuse