Question

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle is shown. 2 rays form an angle of 45 degrees. The length of the rays is 8 inches. Arc s contains the angle measuring 45 degrees.

Answer 1

Answer:

6.3inches

Step-by-step explanation:

$s= \frac{ \alpha }{360} \times 2\pi \: r \\ \alpha = 45 \\ r = 8$

$s= \frac{45}{360} \times 2 \times 3.14 \times 8 \\ s= \frac{1}{8} \times 50.24$

$s= \frac{50.24}{8} \\ s = 6.28$

Answer 2

Answer:

6.3

Step-by-step explanation:

The first thing we need to do is we need to find the circumference. The equation to find the circumference is 3.14d or 2r3.14. So our equation is going to be 16 * 3.14. From the equation the circumference is 50.24. Since we know the central angle for a circle is 360 degrees we can set an equation: 50.24/360=x/45.  

x= 50.24(45)/360

x=6.28 or 6.3