Question

Please help! i was wondering how you would solve this question!

Answer 1

Answer: C. 150 km²

Explanation:

Use similar triangle proportion to find x:

`(x)/(4.5)=(15.3+7.4)/(7.4)\\\\\\x=(4.5(22.7))/(7.4)\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=(13.8)/(2)=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150`