Question

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

Answer 1

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

$= {360}^{0} \div 10$

$= {36}^{0}$

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 =

$= \frac{1}{n} \times 2\pi \times r$

$= \frac{1}{10} \times 2\ \frac{22}{7} \times 50$

$= 31.42 \: in$