Question

Need help with this please

Answer 1

Explanation:

To find the area of the shaded region, we must minus the area of that part of the circle minus the triangle.

But to find the area of the triangle, we must find what is x and what is y.

Based on our angle knowledge, we know that
`cos (30) = (x)/(4)\\sin(30) = (y)/(4)`

By solving these two functions we get that x=3.4641 and y =2.0000

Thus the area of the triangle is
`(1)/(2) *b*h` = 0.5* (2*3.4641)*2 = 6.9282

The area of the shaded region = area of that part of the circle - area of triangle

`(120)/(360) *\pi (4^(2))`
`- 6.9282` = 16.7552-6.9282 = 9.827 = 9.83