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Find the area of a circle whose radius is 14 inches. (Use π = 3.1416.)

A. 87.9648 square inches
B. 43.9824 square inches
C. 615.7536 square inches
D. 153.9384 square inches

2 Answers

0 votes
C.6157536 square inches
User Whme
by
8.1k points
3 votes

Answer:

C. 615.7536 square inches

Explanation:

The formula for the area of a circle is ...

A = πr²

Fill in the given numbers and do the arithmetic.

A = 3.1416×(14 in)² = 615.7536 in²

_____

Comment on the value of pi

We are interested to see that recent problems require use of a value of pi that has 5 significant digits, instead of 3 (as in 3.14). The only problem in this scenario is that the answer is now reported to 7 significant figures, so is still wrong. The correct 7-digit answer to this problem is 615.7522 in². It would be obtained by using a 7- or 8-digit value for pi: 3.141593 or 3.1415927 and rounding appropriately.

User Harshal Bhavsar
by
8.7k points
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