Question

Val needs to find the area enclosed by the figure. The figure is made by attaching

semicircles to each side of a 46-m-by-46-m square. Val says the area is 1,206.12
m². Find the area enclosed by the figure. Use 3.14 for 1. What error might Val have
made?

Answer 1

Answer: See below

Explanation:

Radius of the semicircle = 46/2 = 23 m

`\therefore$ Area enclosed by the figure $=4 *$ Area of semicircles + Area of square \begin{aligned} \\&=4 * 3.14 *(23)^(2) * (1)/(2)+(46)^(2) \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^(2)$`

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12