The distance between Branch A and Branch B is given by the Pythagoras theorem
AB² = (Vertical Distance)² + (Horizontal Distance)²
AB² = (4-1)² + (1 - -3)²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5
BC² = (Vertical distance)² + (Horizontal distance)²
BC² = (-2 - 4)² + (5-1)²
BC² = (-6)² + (4)²
BC² = 36 + 16
BC² = 52
BC = 7.21
Half way of BC = 7.21 ÷ 2 = 3.6 miles
Total distance travelled from A to B and then halfway from B to C is 3.6+5 = 8.6 miles
Hello!
You have to find the circumference
You use the equation

r is radius which is half the diameter
This gives us 81.68
Multiply this by 32
81.68 * 32 = 2613.76
This is 217.8133333 feet
The answer is 217.8133 feet
Hope this helps!
Use the Cosine Rule to find this
cos <B = [b^2 - a^2 - c^2] / -2ac
= [ 4^2 - 10^2 - 11^2] / -2*10*11
= 0.93182
so m < B = 21.3 degrees to nearest tenth. Answer