Question: Consider the circle r = 3 sin . (a) Find the area of the circle. (b) Complete the table giving the areas A of the

Consider the circle r = 3 sin 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.

A 0.2 0.4 0.6 0. 1.0 1.2 1.4

(c) Use the table in part (b) to approximate the values of θ for which the sector of the circle composes, 1/8, 1/4 and 1/2 of the total area of the circle.

(d) Use a graphing utility to approximate, to two decimal
places, the angles for which the sector of the circle
composes,1/8, 1/4 and 1/2 and of the total area of the circle.

A 0.2 0.4 0.6 0. 1.0 1.2 1.4

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