Find the area of the lighter shaded region.

The area of the lighter shaded region = 38.1 cm²

Step-by-step explanation:

It is given a circle with a sector and a triangle

Radius of circle = 6 cm

To find the area of sector

Area of circle = πr²

 = 3.14 * 6²

 = 3.14 * 36

 = 113.04 cm²

Central angle of sector = 150°

Area of sector = area of circle (150/360)

 = 113.04 *(150/360)

 = 47.1 cm²

To find the area of triangle

Area of this triangle = (1/2)r²Sinθ

 = (1/2) * 6² * Sin(150)

 = 9 cm²

To find  the area of the lighter shaded region

Area of lighter shaded region = Area of sector - area of triangle

 = 47.1 - 9

 = 38.1 cm²

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.