Question

Barriers are placed around trees.For each inch of trunk diameter the protection zone should have a radius of 4/3 feet find the area of this zone for a tree with trunk circumference of 63 inches

Answer 1

Solution:-
Circumference = 63 inches
2πr = 63
2*22/7*r = 63
r = (63*7)/44
r = 441/44
r = 10 inches (Approx)
Radius of the Protection Zone = 4/3 feet = (4*12)/3 = 16 inches
Now, the radius of the protection zone will be = 10 + 16
= 26 inches
Area of the whole zone = πr²
= 22/7*26*26
= 14872/7
Area of the zone = 2124.57 sq inches.