Consider the circle r = 8 cos . (a) Find the area of the circle. (b) Complete

Consider the circle r = 8 cos θ. 

(a) Find the area of the circle. 

(b) Complete the table giving the areas A of the sectors of the circle between θ = 0 and the values of θ in the table.

(c) Use the table in part (b) to approximate the values of θ for which the sector of the circle composes 1/4, 1/2, and 3/4 of the total area of the circle.

(d) Use a graphing utility to approximate, to two decimal places, the angles θ for which the sector of the circle composes,1/4, 1/2 and 3/4 of the total area of the circle.

(e) Do the results of part (d) depend on the radius of the
circle? Explain.

Transcribed Image Text:

0 A 0.2 0.4 0.6 0.8 1.0 1.2 1.4