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arlik [135]
4 years ago
12

If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60 degrees

Mathematics
1 answer:
adell [148]4 years ago
7 0

2.618 cm

Step-by-step explanation:

The formulae for finding the length of an arc subtended by an angle at the center of the circle is;

∅/360 * 2πr

We can begin by finding the circumference of the circle;

π * D

= π * 5 = 15.708

We multiply by the fraction of the angle out of 360 degrees;

⁶⁰/ 360 = ¹/6

¹/6 * 15.708 = 2.618

= 2.618 cm

Learn More:

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