Question

Can help me complete this problem please :c

Answer 1

`A = (7)/(2)\pi~cm^2`

Explanation:

There is a formula for the area of a sector given the radius and the angle measure.

`A = (n)/(360^\circ)\pi r`

n = angle measure

r = radius

`A = (140^\circ)/(360^\circ)\pi * (3~cm)^2`

`A = (14)/(36)\pi * 9~cm^2`

`A = (7)/(18)\pi * 9~cm^2`

`A = (7)/(2)\pi~cm^2`

Answer 2

If an exact answer is requested, I would use 3.5 * pi

Explanation:

The area of a sector that has the center angle as the apex is

Area = theta/360 * pi * r^2

Area = 140/360 * pi * r^2

Area = 7/18 * pi * 3^2

Area = 7/18 * pi * 9

Area = 7/2 * pi

Area = 3.5 * pi