The diagram shows a circle with center O and radius 42 inches. A and B are points on the circumference such that arc AB makes an angle of 120° at b
Calculate the area of the sector AOB.
Use 22/7 as an approximation for IT
A 105,840 in
B 3,696 in?
С
1,848 in
D 1,256 in

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step-by-step explanation:

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step-by-step explanation:

(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