If a circle has a radius of 6.2feet what is the area of the circle in square feet rounded to the nearest tenth foot?

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Answer 1 · 2018-04-23T22:04:42

Exact: $38.44 π$ $38.44pi$ sq. ft.
Approximate (using $3.14$ $3.14$ as $π$ $pi$ ): $120.7016$ $120.7016$ sq. ft.

Recall that the area of a circle is given by

$A = π r^{2}$ $A=pir^2$

We know the radius ( $r$ $r$ ), so we can plug into our area formula to get:

$A = {(6.2)}^{2} π$ $A=(6.2)^2pi$

$\Rightarrow 38.44 π f t^{2}$ $color(lime)(=>38.44pi ft^2)$

Our exact answer is in lime above, but we can use $3.14$ $3.14$ for $π$ $pi$ . We get:

$\Rightarrow 38.44 \cdot 3.14$ $color(blue)(=>38.44*3.14)$

$\Rightarrow 120.7016 f t^{2}$ $color(blue)(=>120.7016 ft^2)$

Either one of our answers, in lime green or blue, are acceptable, the lime answer is the exact answer, however.

Hope this helps!