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33 votes
Find the circumference of C. Round your answer to the nearest hundredth

Find the circumference of C. Round your answer to the nearest hundredth-example-1
User DRendar
by
2.5k points

1 Answer

25 votes
25 votes

Explanation:

your picture is asking for something else (but it needs the circumference too).

the full circumference (360°) is

2×pi×r = 2×pi×10 = 62.83185307... in ≈ 62.83 in

and now to the picture question :

the ratio of arc length to the full circumference is the same as the ratio of the arc angle to the full 360°.

8.73/62.83185307... = arc angle DE/360

so,

arc angle DE = 360×8.73/62.83185307... =

= 50.01921551...° ≈ 50.02°

User Djidiouf
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2.6k points