Calculate the area of the circle by the indicated method The lengths of parallel chords of a circle that are 0 250 in apart are given in the following table The diameter of the circle is 2 000 in The distance shown is the distance from one end of a diameter Using the formula A r 2 , the area of the circle is 3 14 in 2 Find the area of the circle using the trapezoidal rule and only the values of distance of 0 000 in , 0 500 in , 1 000 in , 1 500 in , and 2 000 in with the corresponding values of the chord lengths Explain why the value found is less than 3 14 in 2 Distance (in ) 0 000 0 250 0 500 0 750 1 000 1 250 1 500 1 750 2 000 Length (in ) 0 000 1 323 1 732 1 936 2 000 1 936 1 732 1 323 0 000

Question: Calculate the area of the circle by the indicated method. The lengths of parallel chords of a circle that are 0.250 in. apart are given

Calculate the area of the circle by the indicated method.
The lengths of parallel chords of a circle that are 0.250 in. apart are given in the following table. The diameter of the circle is 2.000 in. The distance shown is the distance from one end of a diameter.

Distance (in.) 0.000 0.250 0.500 0.750 1.000 1.250 1.500 1.750 2.000 Length

Using the formula A = πr² , the area of the circle is 3.14 in.².

Find the area of the circle using the trapezoidal rule and only the values of distance of 0.000 in., 0.500 in., 1.000 in., 1.500 in., and 2.000 in. with the corresponding values of the chord lengths. Explain why the value found is less than 3.14 in.² .

Distance (in.) 0.000 0.250 0.500 0.750 1.000 1.250 1.500 1.750 2.000 Length (in.) 0.000 1.323 1.732 1.936 2.000 1.936 1.732 1.323 0.000

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