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Alexus [3.1K]
3 years ago
8

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

arc is what?
Mathematics
1 answer:
ella [17]3 years ago
3 0
For the answer to the question above, 

<span>the angle of 360 ° → π.d </span>

<span>the angle of x ° → 8π </span>


<span>You make the cross-multiply and you can get: </span>

<span>x * π.d = 8π * 360 </span>

<span>x * d = 8 * 360 </span>

<span>x = 8 * 360/d → where d = 2r </span>

<span>x = 8 * 360/2r </span>

<span>x = 4 * 360/r → where r = 4.5 cm </span>

<span>x = 4 * 360/4.5 </span>

<span>x = 320 °</span>
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