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The radius of a circle is 10 inches. What is the angle measure of an arc 3pi inches long?

The radius of a circle is 10 inches. What is the angle measure of an arc 3pi inches-example-1

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52,94°

the angle mesure of an arc devided by 360 (mesure of the angle of a circle) equals the arc length devided by the Circumference of the circle.

angle mesure of the arc length of the arc

___________________=______________________

360° Circumference

angle mesure of the arc 9,24 (3pi)

___________________=______________________

360° 62,83

360×9,24

________= angle mesure of the arc = 52,94°

62,83

the *_____* means it is a fraction

and the formula of the Circumference is

R×2×pi or d×pi

Hope it was helpful!!

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