Question

Find the area of the circle.
12 ft

Answer 1

Answer:

• Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

• Diameter of circle = 12 feet

To Find:

• Area of the circle

Using formula:

$\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}}$

Where,

• π = 3.14
• Diameter = 12 feet
• Radius = 12/2 = 6 feet

On substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2}$

Hence,

• Area of the circle is 113.04 ft²

Answer 2

                    $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{70}{1}$

           Find the area of the circle (diameter = 12 ft)

       $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

   We're asked to find the area of the circle, which can be found using the

     following formula:-

$\longmapsto\underline{\boxed{\bold{A=\pi r^2}}}$

Where:-

• A=area
• π=pi (3.14...)
• r=radius

Provided Information:-

• diameter (d) = 12 ft

What to do:-

     $\bigstar$ Notice that we have the diameter and not the radius.

       $\bigstar$ Since the radius is exactly one-half of the diameter, we divide the

             diameter by 2 and get the radius:-

$\longmapsto\sf{d=2r}$

   $\bigstar$ Rearranging the formula,

$\longmapsto\large\text{ r=\displaystyle\frac{d}{2} }$

$\bigstar$ Substituting the required value (d=12) in lieu of d:-

$\longmapsto\large\text{r= \displaystyle\frac{12}{2} }$

$\bigstar$ Circle's Radius:-

$\longmapsto\large\text{\boxed{\boxed{r=6}}}$

$\triangle\rule{300}{1}\triangle$

Now that we have the radius, let's find the area.

Remember, we need the following formula:-

$\longmapsto\underline{\boxed{\sf{A=\pi r^2}}}$

$\bigstar$ Substituting the required value (r=6) into the formula,

$\longmapsto\underline{\boxed{\sf{A=\pi (6)^2}}}$

$\bigstar$ Squaring the radius,

$\longmapsto\underline{\boxed{\sf{A=\pi \times36}}}$

$\bigstar$ Now, Substitute 3.14 for pi:-

$\longmapsto\sf{A=3.14\times36}$

$\bigstar$ Multiplying the values,

$\longmapsto\sf{A=113.04\:ft^2}$

• Henceforth, We conclude that the right option is:-

$\longmapsto\Large\underline{\boxed{\text{Option\:D}}}$

Good luck with your studies.

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$\rule{300}{1}$