Question

A radar system has been set up to track approaching weather storms. The radar is set to reach 350 miles and cover an arc of 150 degrees. Find the arc length and the area of the sector that the radar covers

Answer 1

Circumference of the circle = 2 * PI * radius
Circumference of the circle = 2 * PI * 350
Circumference of the circle = 2,199.115

Arc length = (150/360) * 2,199.115
Arc length = 916.3 miles

Circle Area = PI * radius^2
Circle Area = PI * 350*350
Circle Area = 384,845.1

Sector Area = (150/360) * 384,845.1
Sector Area = 160,352.13 square miles