- #1

arhzz

- 268

- 52

- Homework Statement
- Find the circumference

- Relevant Equations
- -

Hello! Consider this figure

Where a = 5 cm. I need to find the Circumference and Area of this figure.

For the Circumference I tried it like this. I have these 2 shapes, in red and in green

For the green one its basically 2 times a quater of a circle so it should be $$ C_1= 2 * \frac{2\pi r}{4} $$ where r is the radius. Now for the radius looking at the picuture it should be a/2 so 2,5 cm.

Now for the red one I thought it is a square minus the quater of a circle. Since we have that 2 times as well I multiplied it by two

$$ C_2 = (4a - \frac{2\pi r}{4}) * 2 $$

Where a should be a/2 and r should also be r/2 looking from the picture. Now I add ## C_1 ## and ## C_2 ## together and I should get the total circumference. Now the solution should be 15,7 cm but I dont get that, and I dont see what I am doing wrong.

Any insight?

Where a = 5 cm. I need to find the Circumference and Area of this figure.

For the Circumference I tried it like this. I have these 2 shapes, in red and in green

For the green one its basically 2 times a quater of a circle so it should be $$ C_1= 2 * \frac{2\pi r}{4} $$ where r is the radius. Now for the radius looking at the picuture it should be a/2 so 2,5 cm.

Now for the red one I thought it is a square minus the quater of a circle. Since we have that 2 times as well I multiplied it by two

$$ C_2 = (4a - \frac{2\pi r}{4}) * 2 $$

Where a should be a/2 and r should also be r/2 looking from the picture. Now I add ## C_1 ## and ## C_2 ## together and I should get the total circumference. Now the solution should be 15,7 cm but I dont get that, and I dont see what I am doing wrong.

Any insight?