A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

Question

3 years ago

11

arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?

1 answer:

yarga [219] · Answer 1 · 2022-04-05T01:29:55+03:00

Answer:

320°

Step-by-step explanation:

The arc length is given by ...

s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

8π = 4.5θ

θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

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