Answer:
a. Find the measure of each central angle.
The central angle of a circle = 360 °
Now Pie is cut into 10 equal sectors
Angle of each sector is given by
Angle of sector = Total central angle/number of sectors
[tex] = {360}^{0} \div 10[/tex]
[tex] = {36}^{0} [/tex]
Hence , the central angle of one slice of pie is 36°
b. If the diameter is 50 in., find the length of an arc of one of the sectors.
length of an arc of one of the sectors =
[tex] = \frac{1}{n} \times 2\pi \times r[/tex]
[tex]= \frac{1}{10} \times 2\ \frac{22}{7} \times 50[/tex]
[tex] = 31.42 \: in[/tex]
Answer: 36 degrees
Step-by-step explanation:
A circle is 360 degrees.
If you divide 360 degrees by 10, (10 sectors) you get 36.
The answer is therefore 36 degrees. (don't forget your labels!!!)
