Question

the ratio to use to find the area of the sector is ____.the area of the circle is ____. the area of the sector is ____.

Answer 1

Ratio = 1/6

Area of circle = 64π

Area of sector = 64π/6 = 32π

Step-by-step explanation:

Area of sector when measured in degrees:

`Areaof\sec tor\text{ = }(\theta)/(360)*\pi r^2`

The ratio here is the ratio of the central angle to 360

ratio = 60/360 = 1/6

the ratio to use to find the area of the sector is 1/6

Area of a circle = πr²

r = radius = 8

Area of a circle = π × 8² = π × 8 × 8

Area of the circle = 64π

Area of sector:

θ = 60°

Area of sector when measured in degrees:

`Areaof\sec tor\text{ = }(\theta)/(360)*\pi r^2`
`\begin{gathered} =(60)/(360)*\pi*8^2 \\ =(1)/(6)*\pi*8^2 \end{gathered}`
`\begin{gathered} \text{Area of sector = }(64)/(6)\pi\text{ (in simplest form)} \\ \text{Area of sector = }(64)/(6)\pi\text{ = }(32)/(3)\pi \end{gathered}`