Q73. - Algebra 1

Question

Find the area of the following figure.

Step-by-Step Solution

Answer

The area of the given figure is $\mathbf{3}\mathbf{.14}{\mathbf{\text{\hspace{0.17em}\hspace{0.17em}unit}}}^{\mathbf{2}}$.

Step 1. Given information.

The given figure is a circle and the circle has a diameter of 6 units.

So,

$d=2$

Step 2. Write the concept.

The area of the circle is given by:

$A=\pi r^2$

Where $r$ is the radius of the circle $r=\frac{d}{2}$.

Step 3. Determine the area.

The area of the circle is:

$\begin{array}{l}A=\pi r^2\\ =\pi {\left(\frac{d}{2}\right)}^2\\ =\pi {\left(\frac{2}{2}\right)}^2\\ =\pi {\left(1\right)}^2\\ =\pi \end{array}$

Since the value of $\pi$ is equal to $\frac{22}{7}$. Therefore,

$\begin{array}{l}A=\frac{22}{7}\\ =3.14{\text{\hspace{0.17em}\hspace{0.17em}unit}}^2\end{array}$