Question

What is the area of a sector when theta = 15º and r = 4

Answer 1

2pi/6

Explanation:

If you convert the degrees to radians (15 degrees theta) you get:

15/1 * pi/180 --> =15pi/180 then you multiply by the radius --> 15pi/180 *4/1

this gives you 60pi/180 (don't forget to reduce) =2pi/6

(Sorry this is so confusingly written out. I wish I could have just shown you on paper but just remember that all of the "/" mean a fraction! :) )

Answer 2

2.09 sq. units

Explanation:

We can simply use the formula for area of a sector of a circle.

Area of sector =
`(\theta)/(360)*\pi r^2`

Where
`\theta` is the angle and r is the radius.

It is given that the angle is 15 and radius is 4. We plug them in and find the area:

`(\theta)/(360)*\pi r^2\\=(15)/(360)*\pi (4)^2\\=(1)/(24)*16\pi\\=2.09`

Thus area of sector is 2.09 sq. units.