How to find the area of a square and a semi circle?

Question

There is a shape of a semi circle and a square combined and I need to find the area of both shapes then add them together to get the whole shapes area.

Answer 1

Hello Dragon,

To find the area of a square, you multiply the measurement of any one of the four equal sides by itself; i.e. 4².

To find the area of a semicircle, you first need to measure the radius. Once you have done that, you can then find the area of a/the semicircle with a/the radius using the following formula: πr²/2.

To find the area of a semicircle with a/the diameter: after measuring the diameter (which is twice the length of the radius), you can use the following formula: πd²/8,

In each of the above formulae: 'r' is the radius, and 'd' is the diameter. You can also substitute the known numeric value of the area in these formulas and find the missing radius and diameter.

Once you have determined the areas of your square and semicircle as explained above, you can then add the two given numbers together to find the whole shapes area itself.