Let's calculate the area of the figure

Question

Let's calculate the area of the figure

https://ibb.co/XZ22pk6S

Answer 1

square + triangle + semi-circle

= 6^2 + .5(6)(5)+ .5pi(3^2)

= 36+ 15 + 4.5pi

= 51 +4.5pi cm^2

Answer 2

This is called a composite figure, which means it's several figures joined together. So you need to get the area of each piece and add them together. We have a square, a triangle and a semi-circle.

1. Let's start with the square. The area formula is A=s², so for this figure A=6², which is 36 cm²
2. The triangle formula is A=¹/₂bh. The base of the triangle is 6 cm, and the height is 5 cm. So filling in the formula A=¹/₂(6)(5) = 15 cm²
3. The semi-circle formula is A=¹/₂πr². Filling that in, we get A=¹/₂π(3)². Using π≈3.14, we get A=14.137
4. Adding all of that together, we get 65.137 cm²

Answer 3

Just realized microphone was not on, but the pictures show the thought process.