2 Answers

Uvelichitel · Answer 1 · 2023-02-22T02:52:40+0000

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!!!)

Peter Lustig · Answer 2 · 2023-02-26T00:38:29+0000

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

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

$= {36}^(0)$

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 =

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

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

$= 31.42 \: in$

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