Find the of the shaded segment of a circle with radius 10 cm and central angle 30 degrees

25/3 pi cm^2

26.18 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

We are taking a sector that is 30 degrees.  Since a circle is 360 degrees

The fractional part of the circle is 30/360

Multiply the fraction by the area to find the shaded area

sector area = 30/360 * pi (10)^2

                   =1/12 * pi *100

                   =25/3 * pi is the exact answer

or approximately 26.18 cm^2

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180