Chapter 11, Problem 38SGR

To determine

To calculate the area of circle.

Answer to Problem 38SGR

  $143.196i{n}^2$

Explanation of Solution

Given Information: Diameter = $13\frac{1}{2}$ in.

Formula Used:Area of circle = $\pi \times r^2$ , $\pi =\frac{22}{7}$ , $radius=\frac{diameter}{2}$

Calculation:

Diameter = d, Radius = r.

Now, diameter is of $13\frac{1}{2}$ in.

Hence, $13\frac{1}{2}$ in = $\frac{27}{2}$ in.

So, $radius=\frac{diameter}{2}$

  $radius=\frac{27}{2\times 2}$ in.

  $radius=\frac{27}{4}$ in.

Area of circle = $\pi \times r^2$

Now, radius is of $\frac{27}{4}$ in.

Area of circle = $\pi \times {\frac{27}{4}}^{2}i{n}^2$

Now, $\pi =\frac{22}{7}$

Area of circle = $\frac{22}{7}\times \frac{27}{4}\times \frac{27}{4}i{n}^2$

Area of circle = $143.196i{n}^2$