Question

Find the area of the sector.

3pie cm^2

14pie cm^2

49/3pie cm^2

98/3pie cm^2

Answer 1

`A = (98)/(3) \pi~cm^2`

Explanation:

`A = (n)/(360^\circ)\pi r^2`

where n = central angle measure of sector, r = radius

`A = (240^\circ)/(360^\circ)\pi (7~cm)^2`

`A = (2)/(3) * 49 \pi~cm^2`

`A = (98)/(3) \pi~cm^2`