Question

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

17 m
imate area of Laura's yard?
What is the approw
316 m
402 m
516 m
743 m

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

Option 2 - 402 m sq.

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=(17)/(2)`

The area of the half circle is
`A=(1)/(2) \pi r^2`

Substitute the value in the formula,

`A_c=(1)/(2)* (22)/(7)*((17)/(2))^2`

`A_c=(22* 17* 17)/(2* 7* 2* 2)`

`A_c=(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.