A circle with area 36 pi has a sector with a central angle of 11/6 pi radians what is the area of the cector

The area of the sector is 33.

Explanation:

A sector is a part of a circle that is formed by two radii (which forms a central angle), and an arc. The area of a sector (in radians) is given by:

                          = (θ ÷ ) ×

where: θ is the central angle of the sector and r is the radius of the circle of which the sector is a part.

Area of a circle = . But the area of the circles was given to be 36.

Area of the sector = (θ ÷ ) × area of the circle

                              = (θ ÷ ) ×36

θ has been given to be .

Therefore;

   Area of the sector = ( ÷ ) ×36

                                   = × 36

                                   = 11 × 3

                                   = 33

The area of the sector is 33.

the correct answers are:

a - pacific plate;

it is the biggest oceanic tectonic plate. surrounded on all sides by continental tectonic plates, it is submerging and gradually becoming smaller and smaller.

b - north american plate;

huge continental plate, occupying big portion of the northern hemisphere.

c -eurasian plate;

alongside the north american plate, it is one of the two dominant continental plates in the northern hemisphere.

d - indian plate;

a small continental plate, that has been part of gondwanaland initially, but after the break up of it, moved towards northeast and pushed into the eurasian plate that was once part of laurasia.