A forrest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet. What is the trunk's radius to the nearest tenth foot?<…

Question

asked Oct 9, 2019 196k views

2 Answers

Gulmuhammad Akbari · Answer 1 · 2019-10-15T14:10:44+0000

Answer:

As per the given statement: A forest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet.

Shape of the trunk of a tree is circle.

Use the circumference formula:

$C = 2\pi r$

where C is the circumference of a circle and r is the radius of a circle.

Solve for r;

Given: C = 8.6 feet and use
$\pi = 3.14$

Substitute the given value we get;

8.6 = 2 * 3.14 * r

Simplify:

8.6 = 6.28r

Divide both sides by 6.28 we get;

r = 1.6942675 feet

Therefore, the trunk's radius to the nearest tenth foot is, 1.4 ft