Question

What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8 m? Round the answer to the nearest tenth.
a) 8.1 m²
b) 4.0 m²
c) 47.0 m²
d) 11.7 m²

Answer 1

area = (160/360) pi r^2

where

r = 1/2 diameter = 1/2 * 5.8 = 2.9

Answer 2

so 4.0

Answer 3

welshfella

Answer 4

can someone help

Answer 5

Did you use the sector area formula that welshfella gave you above? Sector area is basically just a proportion of a total circle area (which is pi r^2)

Answer 6

Area of a circle = pi * r^2

Area of a sector = area of the total circle x the proportion of the total circle that the sector is

If angle is given in degrees, then that proportion is (angle degrees / 360)

Answer 7

no not 4.0 plug the expression into ur calculator
(160/360) * 3.14 * 2.9^2


- use pi = 3.14 will be OK

Answer 8

I did and I got 11.7. Is that right?

Answer 9

welshfella

Answer 10

yes

Answer 11

gotta go