Question

What is the area of a sectorwhen 0 = 17/36 radians and r = 2?

Answer 1

To answer this question we will use the following formula to compute the area of a sector of radius r and central angle Θ:

`Area=(r^2\theta)/(2).`

Substituting the given information we get:

`Area=(2^2*(17\pi)/(36))/(2).`

Simplifying the above result we get:

`Area=(4*(17\pi)/(36))/(2)=(17\pi)/(18)`

Answer:

`(17\pi)/(18)sq\text{ units.}`