111k views
5 votes
Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumference of a circle is given by the formula , where d is the diameter.Because the diameter is twice the radius, .If equally sized central angles, each with a measure of , are drawn, the number of sectors that are formed will be equal to _____.The arc length of each sector is the circumference divided by the number of sectors, or .Therefore, the arc length of a sector of a circle with a central angle of is given by or ... help please

Solomon needs to justify the formula for the arc length of a sector. Which expression-example-1
User Jwrush
by
8.3k points

2 Answers

5 votes

Answer:

360/n

Explanation:

User ThinkingMonkey
by
7.6k points
5 votes

Answer:


(360)/(n)

Explanation:

Given:

The above statements

Required

Complete the above statements

Considering the third statement in the question;

First, it should be noted that a circle is a full sector that measures 360 degrees

Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;


(360)/(180) = 2\ sectors

Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;


(360)/(90) = 4\ sectors

Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;


(360)/(n)

Hence, from the list of given options;
(360)/(n) fills the gap correctly

User Aric Lasry
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories