Question

Find the area of a sector with a central angle of 160° and a diameter of 7.5 cm. Round to the nearest tenth.

Thanks!

Answer 1

sector is a part of the circumference

Answer 2

So first find the circumference

Answer 3

after finding the circumference, multiply it by the ratio of angle 160/360

Answer 4

I think I got 4/9 is that correct for the ratio?

Answer 5

Yes

Answer 6

formula of sector area is
theta / 360 x pi (Radius)^2
therefore
160/360 x pi ( 7.5/2) ^2
19.6 cm ^2

Answer 7

Thanks guys!