Question

A sector has a radius of 12 centimeters and an angle of 65°. find its arc length.

Answer 1

Hi, there!

________

`\textsc{key:}`

. . . . . . . . . . . . .

The formula is

`\longrightarrow\Large\boxed{A=(r^2\theta)/(2)}`

. . . . . . . . . . . . . . .

Here

» A=Sector Area, or arc length

» r is the radius (it's squared‼)

» θ is the angle

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Now, we can substitute our parameters, and work out the answer.

`\bf{A}\sf{=(12^2*65)/(2)}`

`\bf{A}\sf{=(144*65)/(2)}`

`\bf{A}=\sf{(9360)/(2)`

`\bf{A}=\sf{4,680 \ centimeters^2}`

Hope the answer - and explanation - made sense,

happy studying!!
`\tiny \boldsymbol{Frozen \ melody}`