Question

Need help asap please!!!!!!

Answer 1

`(16\pi)/(9) {cm}^(2)`

Option C is the correct option

Explanation:

`angle \: theta = 40 \: degree \\ theta = 40 * (\pi)/(180 ) \\ theta = (2\pi)/(9)`

Radius= 4 cm

`area = (1)/(2) * theta \: * {r}^(2) \\ \: \: \: \: \: \: \: \: \: = (1)/(2) * (2\pi)/(9) * {4}^(2) \\ \: \: \: \: \: \: \: \: = (1)/(2) * (2\pi)/(9) * 16 \\ \: \: \: \: \: \: \: = \frac{16\pi}{9 \: {cm}^(2) }`

Hope this helps....

Good luck on your assignment...

Answer 2

C.

Explanation:

Area of a Sector Formula: A = x/360πr²

Since we are given x and r, simply plug it in:

A = 40/360π(4)²

A = 1/9π(16)

A = 16π/9