Find each of the following sectors with the given radius and angle, find the arc length and the area of the sector.

Question

1. r=6cm, central angle=1.6 rad

2. r=14cm, central angle=0.25 rad

3. r=25 cm, central angle=1.75 rad

4. r=12cm, central angle= 3/4 rad

 

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Answer 1

In each case, calculate the area of the specified circle.

The area of any sector is a fraction of the area of the circle--the proportion is central angle θ/(2pi).

 

Arclength is obtained similarly--it's the above proportion of the Circumference of the circle.