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Sunny_sXe [5.5K]
4 years ago
6

A circle with circumference \blue{6}6start color #6495ed, 6, end color #6495ed has an arc with a 60^\circ60

Mathematics
2 answers:
Bingel [31]4 years ago
8 0

Answer:

\Delta s = 1

Step-by-step explanation:

The length of the arc is directly proportional to the angle of the arc, whose measure is determined by simple rule of three:

\Delta s = \left(\frac{60^{\circ}}{360^{\circ}} \right)\cdot (6)

\Delta s = 1

aleksklad [387]4 years ago
5 0

complete question:

A circle with circumference of 6, has an arc with a ∘ 60, degree central angle.

Answer:

length of an arc = 1

Step-by-step explanation:

The length of an arc is defined with the following formula.

length of an arc = ∅/360 × 2πr

circumference of a circle = 2πr

circumference = 6

length of an arc = ∅/360 × 2πr

length of an arc = ∅/360 × 6

where

∅ = 60°

length of an arc = 60/360 × 6

length of an arc = 360/360

length of an arc = 1

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