A porch has the shape of a semicircle with a diameter of 7 ft.


What is the approximate area of the porch, rounded to the nearest square foot? Use 3.14 to approximate pi.
Help!

A = pi * r^2

A = 3.14 * 3.5^2

A = 38.465

38.465/2 = ________ square feet of semicircle

It is 19.2325

yes

19.2325 rounded is like 19

To find the area of the porch, we need to know the formula for the area of a semicircle. The formula for the area of a full circle is A = πr^2, where A represents the area and r represents the radius.

Since we have a semicircle, we need to divide the formula for the area in half. Therefore, the formula for the area of a semicircle is A = (πr^2)/2.

In this case, the diameter of the porch is given as 7 ft. To find the radius, we divide the diameter by 2. So, the radius of the porch is 7 ft / 2 = 3.5 ft.

Now we can substitute the value of the radius into the formula for the area of a semicircle:

A = (π * (3.5 ft)^2) / 2
= (3.14 * 3.5^2) / 2
= (3.14 * 12.25) / 2
= 38.465 / 2
≈ 19.23 square feet (rounded to the nearest square foot)

Therefore, the approximate area of the porch is 19 square feet.