What is the area of a sector with a central angle of 4π/5 radians and a radius of 11 cm?

the area of a sector is 151.976 cm²

Step-by-step explanation:

Area of sector(A)is given by:

A=πr².θ/360°

where,

r is the radius and θ is the angle in degree.

As per the statement:

A central angle of 4π/5 radians and a radius of 11 cm.

r=11cm

Use conversion:

1 radian=180/π

then:

4π/5 radians=180/π * 4π/5

=144°

θ=144°

Substitute these given values and use 3.14 for π we have;

A=3.14*(11)²*144/360

A=3.14(121)*144/360

A=379.94*0.4

A=151.976 cm²

Therefore the area of a sector is 151.976 cm²

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.