Find the area of the shaded sector of the circle

Given:

Given that the radius of the circle is 16 ft.

We need to determine the area of the shaded sector of the circle.

Angle of the shaded region:

The angle of the shaded region is given by

Thus, the angle of the shaded region of the circle is 270°

Area of the shaded sector of the circle:

The area of the shaded sector of the circle can be determined using the formula,

Substituting r = 16 and , we have;

Thus, the area of the shaded sector of the circle is 602.88 square feet.

answer:      

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: