Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?

Step-by-step explanation:

We have been given that the radius of our given circle is 18 inches and the arc length that corresponds to sector is 6 pi.

To find the area of our given sector we will use formula:

Upon substituting our given values in above formula we will get,

Therefore, the area of our given sector is 169.65 square inches.

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