Question

Laura's yard is in the shape of a square and a half-circle.

Answer 1

Pi r2

17 divide 2=8.5

Then

8.5•8.5=72.25

Then

3.14•72.25=226.865

Then

226.865 divide by 2 =113.4325m2

Answer 2

Answer:

Option 2 - 402 m sq.

Step-by-step explanation:

Given : Laura's yard is in the shape of a square and a half-circle.

To find : What is the approximate area of Laura's yard?

Solution :

The side of the square is 17 m

The area of the square is $A_s=s^2$

$A_s=17^2$

$A_s=289m^2$

The half circle form upon a square side.

So, The diameter of the half circle is equal to the side of the square.

d=17 m

Radius of the half circle is $r=\frac{17}{2}$

The area of the half circle is $A=\frac{1}{2} \pi r^2$

Substitute the value in the formula,

$A_c=\frac{1}{2}\times \frac{22}{7}\times(\frac{17}{2})^2$

$A_c=\frac{22\times 17\times 17}{2\times 7\times 2\times 2}$

$A_c=\frac{6358}{56}$

$A_c=113.53m^2$

Total area of the Laura's yard is

$A=A_s+A_c$

$A=289+113.53$

$A=402.53m^2$

Approximately the area of the Laura's yard is 402 m sq.

Therefore, Option 2 is correct.