215,380 views
42 votes
42 votes
How would I find the fraction of the circle is each sector? Need explanation

How would I find the fraction of the circle is each sector? Need explanation-example-1
User Avada Kedavra
by
3.1k points

1 Answer

19 votes
19 votes

Remember that

A complete circle subtends a central angle of 2л radians

so

Applying proportion

Find out how much represent a central angle of 5л/6 radians

1/2л=x/(5л/6)

solve for x

x=(5л/6)/2л

x=5л/12л

x=5/12

therefore

The fraction of the sector is 5/12 of the complete circle

User Hannes Petri
by
2.7k points