Question

* 4. A circle is divided into ten equal sectors.

a. Find the measure of each central angle.
b. If the diameter is 50 in., find the length of an arc of one of the
sectors.
HELP PLEASE

Answer 1

Answer: 36 degrees

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!!!)

Answer 2

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

`= {360}^(0) / 10`

`= {36}^(0)`

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 =

`= (1)/(n) * 2\pi * r`

`= (1)/(10) * 2\ (22)/(7) * 50`

`= 31.42 \: in`