WILL MARK BRAINLIEDT If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of the centr

Question

2 years ago

7

al angle associated with the arc? Use 3.14 for π. Give your answer in degrees and radians (approximate to two decimals and exact).

1 answer:

Ostrovityanka [42] · Answer 1 · 2023-07-21T16:53:15+03:00

The angle that defines the arc is 1.57 radians or 90°.

<h3 /><h3>How to get the angle of the arc?</h3>

For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:

L = θ*R.

Here we know that the radius is R = 7cm, and the length of the arc is 10.99 cm. Replacing these in the above equation:

10.99 cm = θ*7cm

θ = (10.99 cm/7 cm) = 1.57

Then the angle is 1.57 radians. Remember that:

3.14 radians = 180°

Then:

θ = (1.57/3.14)*180° = 90°

If you want to learn more about arcs:

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