Finding x,
We will use Pythagoras theorem to determine the value of x:
Finding y,
We have to determine the angle, at the bottom left of the bigger triangle.
Using sine rule,
To find the angle on the smaller triangle,
Finding the missing length of y,
So y = 2 + 8, y = 10
Answer:
In terms of π, the area of the shaded sector is 108πin²
Step-by-step explanation:
Area of the shaded sector, which is the major sector=x°/360(πr²)
A=270/360×π×(12in)²
A=¾π×144in²
A=108πin²( in terms of π)