A circle has radius 5.9 inches. Using the approximate π≈3.14 approximate what is the the circumference and area, rounded to the nearest hundredth?

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A circle has radius 5.9 inches. Using the approximate π≈3.14 approximate what is the the circumference and area, rounded to the nearest hundredth?

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Answer 1 · 2017-11-02T23:05:41

Answers: $C = 37.05$ $C=37.05$ $in$ $"in"$ and $A = 109.30$ $A=109.30$ ${in}^{2}$ $"in"^2"$

Explanation:

Given a circle with $r = 5.9$ $r=5.9$ and $π = 3.14$ $pi=3.14$ , find the circumference and area, rounded to the nearest hundredth.

Note that the circumference of a circle $C = 2 π r$ $C=2pir$ and the area of a circle $A = π r^{2}$ $A=pir^2$ .

We will now apply these two formulas to find the solutions:
Circumference:
$C = 2 π r$ $C=2pir$
$= 2 (3.14) (5.9)$ $=2(3.14)(5.9)$
$= 37.052 \approx 37.05$ $=37.052~~37.05$ $in$ $"in"$

Area:
$A = π r^{2}$ $A=pir^2$
$= (3.14) {(5.9)}^{2}$ $=(3.14)(5.9)^2$
$= 109.3034 = 109.30$ $=109.3034=109.30$ ${in}^{2}$ $"in"^2"$

Therefore the circumference of the circle is $37.05$ $37.05$ $in$ $"in"$ and the area of the circle is $109.30$ $109.30$ ${in}^{2}$ $"in"^2"$ , rounded to the nearest hundredths.

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A circle has radius 5.9 inches. Using the approximate π≈3.14 approximate what is the the circumference and area, rounded to the nearest hundredth?

1 Answer

Explanation:

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