Can you please help me with this question?

Question

A car is initially 200 meters due west of a roundabout (traffic circle). If the car travels to the roundabout, continues halfway around the circle, exits due east, then travels an additional 160 meters, what is the total distance the car has traveled? This are the answer choices.

1. (A) 862.4 m
2. (B) 611.2 m
3. (C) 502.4 m
4. (D) 451.2 m

I would have solved it myself if only i knew the radius of the circle. Please, help me if you can.

Answer 1

Yes, we need the radius,R

without the RoundAbout, the distance traveled is 360.

Perimeter of circle is (1/2) * PI * 2*R

= PI*R

The total distance is given as one of the FOUR (4) answer

choices.

So A = PI*R + 360 where A is one of the answer choices.

Then (A-360)/PI = R

Answer Answer-360 Divides by PI to get the radius

862.4 502.4 159.9188868

611.2 251.2 79.95944341

502.4 142.4 45.32732779

451.2 91.2 29.02986162