17.1k views
0 votes
What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth. 66.1m^2 5.3m^2 16.5m^2 21.0m^2

User Keva
by
8.6k points

2 Answers

5 votes
its 16.5 m^2
if i am wrong i am sorry
i am not the best at math
User Ruchika
by
8.1k points
3 votes

The formula for area of sector is


(\theta)/(360^(o) ) \pi r^2

Here
\theta = 185°

Now diameter = 6.4m

Radius = 1/2 diameter = 1/2 (6.4) = 3.2m

Substituting the values we get

Area of sector

=
(185^(o) )/(360^(o) ) \pi (3.2)^2= 16.5

The area of the sector is 16.5m²

Option C) is the right answer

User Graham Kennedy
by
7.8k points