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Aneli [31]
4 years ago
6

An elementary school is purchasing circular mats for the kindergarten classrooms. If the diameter of one of the circular mats is

7 feet, what is the area of the mat?
Use it = 3.14. Round your answer to the nearest hundredth, if necessary.
Answer
Kevpad
Mathematics
1 answer:
alekssr [168]4 years ago
8 0

Answer:

38.47 feet²

Step-by-step explanation:

To get a radius, you need to divide the diameter into two.

7 ÷ 2 = 3.5

π r² is the equation for the area of a circle.

3.14 × 3.5²

3.14 × 12.25

3.14 × 12.25 = 38.465

After rounding your answer to the nearest hundredth,

38.47 feet²

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But was there a positional system in which π was known? As S. Rabinowitz has realized, there indeed was such a system albeit an unusual one. The starting point was the series



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representations are thought in the form utilized by Horner's method. E.g., in the decimal system we have

(1)√2= 1.41421 ... = 1 + 1/10 (4 + 1/10 (1 + 1/10 (4 + 1/10 (2 + 1/10 (1 + 1/10 ( ... )))))),π= 3.14159 ... = 3 + 1/10 (1 + 1/10 (4 + 1/10 (1 + 1/10 (5 + 1/10 (9 + 1/10 ( ... )))))),

But was there a positional system in which π was known? As S. Rabinowitz has realized, there indeed was such a system albeit an unusual one. The starting point was the series



which also can be written as



or, in the Horner form,



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