The circle below has center O, and its radius is 3 yd. Given that m ZAOB = 150°, find the length of the arc ADB and the area of the shaded region.
Give exact answers in terms of , and be sure to include the correct units in your answer.
10
Length of ADB:
Area of shaded region:
yd
yd?
yd
x
S
?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq