Question

Can anyone please help me with this attachment?

If you can't read my writing, this is the questions:

'Calculate the perimeter of this sector.
Give your answer in terms of pi.'


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Answer 1

Perimeter of the sector = (36 + 8π) cm.

Explanation:

Formula to find the of an arc of the circle is,

Length of the arc =
`(\theta)/(360)(2\pi r)`

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture =
`(80)/(360)(2\pi) (18)`

= 8π cm

Perimeter of the sector = Sum of all sides of the sector

= Length of radius + length of the arc + length of radius

= 18 + 8π + 18

= (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.