Question

What is the area of a sector created by a circle with a radius of 4cm and a 40 central angle

Answer 1

The area of a sector can be found using the formula: Area = (Central Angle / 360) * Pi * r^2. Given the radius and central angle, we can calculate the area as 1.7724538 cm².

Step-by-step explanation:

The area of a sector can be found using the formula: Area = (Central Angle / 360) * Pi * r^2

Given that the radius of the circle is 4cm and the central angle of the sector is 40 degrees, we can substitute these values into the formula:

Area = (40/360) * 3.1415927 * 4^2

Area = (1/9) * 3.1415927 * 16

Area = 1.7724538 cm²

Answer 2

5.59 cm

Step-by-step explanation:

I had set up a proportion. The proportion is below.

360° 50.27

------- = ----------

40° ? (What you're trying to figure out)

So what I did was 50.27 times 40 which equals: 5.58555556, so I rounded it to 5.59 so that's your answer!

I hope that's helpful :D