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Doss [256]
2 years ago
12

A circle has a radius of length r. If you mark off an arc on the circle of length 3r. What is the measurment of of the angkebtha

t sub tends the arc?
A.3 radians
B. 3piR radians
C. 3r radians
D. 3pi radians
Mathematics
2 answers:
MrMuchimi2 years ago
4 0

Answer:

A. 3 radians.

Step-by-step explanation:

A circle arc is a portion of a circle. And the formula of the length of arc with the angle in radians is:

S=R.\beta, where:

S: The arc length.

R:Radius of the circle.

\beta :Angle in radians.

Then we know that the radius of the circle is R=r, and the arc length is S=3r. Then using the arc length formula, the angle that subtends the arc is:

\beta =\frac{S}{R}

\beta =\frac{3r}{r} \\\beta =3 radians

Then the correct option is letter A.

katrin2010 [14]2 years ago
3 0
The appropriate choice is ...
  A. 3 radians

_____
Arc length (s) is given in terms of radius (r) and central angle (θ) in radians by the formula
  s = rθ

When you substitute your given information, you have
  3r = rθ
Dividing by r gives
  θ = 3 . . . . . . . radians
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