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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The symbol means that it is congruent.
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