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asambeis [7]
3 years ago
14

The radius of a circle is 6 miles. what is the length of a 135° arc? 135° r=6 mi

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0
This is the formula to determine the length of arc
length of arc = angle/360° × circumference

First we should find the circle circumference
c = 2 × π × r
c = 2 × 3.14 × 6
c = 37.68 miles

Second find the length of arc
length of arc = angle/360 × circumference
length of arc = 135/360 × 37.68
length of arc = 3/8 × 37.68
length of arc = (3 × 37.68)/8
length of arc = 113.04/8
length of arc = 14.13

The length of arc is 14.13 miles
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