Question

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

that m angle DCE= 60°. Find an exact answer in terms of pie​

Answer 1

`area = (8)/(3)pie ft^2`

Explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector =
`(60)/(360)*pie*4^2`

`area = (1)/(6)*pie*16`

`area = (1*16)/(6)*pie`

`area = (16)/(6)*pie`

`area = (8)/(3)pie ft^2`

Area of the sector = 8/3π ft²