Question

Can anyone help me with this question as soon as possible please.

Answer 1

2.1 cm

Explanation:

If there are 2 arcs with the centre O, that means that O is the center of the "imaginary" circle.

So, we can use the regular arc length formula:

`2\pi r((?)/(360))`

with the ? being the central angle. The central angle in this case is 120 degrees.

So, first let's find the small arc length:

`2\pi (5)((120)/(360) )\\10\pi ((1)/(3) )\\10.5`

Next, the larger arc:

`2\pi (6)((1)/(3) )\\12\pi ((1)/(3))\\ 4\pi \\12.6`

Next, subtract the 2 lengths:

12.6-10.5

=2.1

So, the larger arc is 2.1 cm longer than the smaller arc.

Hope this helps! :)

Answer 2

2.1 cm

Explanation:

Length of an Arc = θ × (π/180) × r, where θ is in degree.

Bottom Arc: 120 x (3.142/180) x 5 = 10.5

Top Arc = 120 x (3.142/180) x (5+1) = 12.6

Answer = Top Arc - Bottom Arc

= 12.6 - 10.5

= 2.1cm