PLEASE PLEASE HELP ME WITH THIS I ONLY NEED 2O MORE POINTS ON THIS IXL EXPLANATION = BRAINLIEST

answer needs to be in simplest form

i appreciate this so much

This is the same as 7.5pi

Explanation:

Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.

Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below

S = (x/360)*pi*r^2

where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.

Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2

Plugging in the given values leads us to...

S = (x/360)*pi*r^2

S = (108/360)*pi*5^2

S = (3/10)*pi*25

S = (3/10)*25*pi

S = 75pi/10

S = 15pi/2

This is the same as 7.5pi because 75/10 = 15/2 = 7.5

I'll leave it as a fraction since the previous answer I wrote was in fraction form.

Side note: if the angle x is in radian mode, then you'll use this formula

S = (x/2)*r^2

check the picture below.