129k views
11 votes
A circle has a circumference of 6. It has an arc of length 1.

What is the central angle of the arc, in degrees?

2 Answers

2 votes

Answer:

60

Explanation:

1/6 x 360

Central angle is equal to measure of intercepted arc.

60 degrees

User Chila
by
8.4k points
4 votes

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ

User Pmichna
by
8.2k 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