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11 Jun 2020
Approximating Area Consider the circle .
(a) Find the area of the circle.
(b) Complete the table for the areas A of the sectors of the circle between and the values of in the table.
θ
0.2
0.4
0.6
0.8
1.0
1.2
1.4
A
(c) Use the table in part (b) to approximate the values of θ for which the sector of the circle composes and 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 and of the total area of the circle.
(e) Do the results of part (d) depend on the radius of the circle? Explain.
Approximating Area Consider the circle .
(a) Find the area of the circle.
(b) Complete the table for the areas A of the sectors of the circle between and the values of in the table.
θ |
0.2 |
0.4 |
0.6 |
0.8 |
1.0 |
1.2 |
1.4 |
A |
(c) Use the table in part (b) to approximate the values of θ for which the sector of the circle composes and 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 and of the total area of the circle.
(e) Do the results of part (d) depend on the radius of the circle? Explain.
Joram GuingguingLv10
12 Jul 2020