Consider a sector with angle \frac{\pi}{3} radians, and radius 3.5

Anabelle Schneider

Anabelle Schneider

Answered question

2022-02-11

Consider a sector with angle π3 radians, and radius 3.5 m. What is the arc length and area?

Answer & Explanation

Ethen Welch

Ethen Welch

Beginner2022-02-12Added 11 answers

Step 1
The sector length when the angle is measured in radians is
l=rθ
So in this case:
l=(3.5)×π3
=3.66519
And the Area is given by:
A=12r2θ
So in this case:
A=12(3.5)2π3
=4924π
=6.414085

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