Question

Frank needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 60-m-by-60-m square. Frank says the area is 2,052.00 m squared. find the area enclosed by the figure. Use 3.14 for pie. What error might Frank have made?

Answer 1

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Explain the scenario

We are given that the figure is made by attaching semicircles to each side of a 60m by 60m square. Frank says the area is 2052.00m squared.

We have to find the error made by Frank.

STEP 2: Find the error

Firstly, as we know that the area of the square is given by;

$\begin{gathered} Area=side^2 \\ side=60m \\ Area=60^2=3600m^2 \end{gathered}$

In the question; the side of the square given is 60 m and this would also be the diameter of the semicircle attached to each side of a square. So we have:

$\begin{gathered} side\text{ of the square = diameter of the circle = 60m} \\ radius=\frac{diameter}{2}=\frac{60}{2}=30m \end{gathered}$

Area o