It is fairly easy to answer the two questions in the previous paragraph, but the second question is somewhat more difficult. When you are searching for the measure of each angle indicated on a worksheet, the answer should be both the diameter and the area of the circle. There is one exception to this. When you are doing some double-checking, you may need to use different measures of the angles indicated in the worksheet.

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You should be able to determine whether the diameter of the sun was the same on any particular day by measuring the length of the shadow that was cast by the earth as the sun was making its entire circuit through the sky. If the two lengths were the same, then the sun is actually making an arc of varying sizes at all times. If they are not the same, then the sun is either making one or two arcs.

The second thing you need to do is to find the area of the circle. There are two ways to do this. One way is to compute the area of the circle from the side lengths. For example, let’s assume that the sun is at a distance of two and a half degrees from the horizon. The side lengths of the circle would then be 6 and a half feet, which give us an area of six and one-half square inches.

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If you haven’t been able to remember the side lengths, there is always a beep. You just have to move the mouse over one of the sides of the box and then select Continue. This will tell you what the side lengths are and then let you calculate the area of the circle from those measurements.

There is another way to determine the size of the sun without having to be distracted by the beeps that indicate you are using the wrong length of side. You would do the same as described above except that you would use the diameter of the sun instead of the side length.

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You would then compute the area of the sun. Again, when you get to the final calculation, you will need to stop and move the mouse over one of the sides. Once again, Select Continue.

For example, if you had a cell where the answer to the second question was “number of seconds,” then you would select the box that was filled with numbers that had been grouped by the letter “n.” The next group would be one of three numbers: twenty-three, twenty-two, or twenty-one.

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In each case, you would enter the correct number into the box with the beeps that indicated that the answer was incorrect. Then, you would click the corresponding button and see the answer that you had been seeking.

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