Question

NO LINKS!!! URGENT HELP PLEASE!!!
Please help with #15
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Answer 1

area = 8π/3

arc length = 4π/3

Explanation:

θ = 60°

r = 4

Area of sector :

`(\theta)/(360) \pi r^(2) \\\\=(60)/(360) \pi 4^(2) \\\\= (1)/(6) 16\pi \\\\= (8)/(3) \pi`

arc length:

`(\theta)/(360) 2\pi r\\ \\= (60)/(360) 2(4)\pi \\\\= (1)/(6) 8\pi \\\\= (4)/(3) \pi`

Answer 2

A ≈ 8.4 cm² , arc length ≈ 4.2 cm

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(60)/(360)` ( r is the radius of the circle )

= π × 4² ×
`(1)/(6)`

=
`(16\pi )/(6)`

≈ 8.4 cm² ( to 1 decimal place )

arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr ×
`(60)/(360)`

= 2π × 4 ×
`(1)/(6)`

=
`(8\pi )/(6)`

≈ 4.2 cm ( to 1 decimal place )