Question

A helicopter hovers over the center of a chemical spill in a calm body of water. It is 38 meters over the center of the spill, and the spill forms a circle. An observer on the helicopter calculates that the distance from the helicopter to the edge of the spill is 3756 meters. What is the area of the spill? (Round your answer to the nearest 0.1 square meters.)

Name: a helicopter hovers over the center of a chemical spill in a calm body of water it is 38 meters over the center of the spill and the spill forms a circle an observer on the helicopter calculates that
Uploaded: 2022-08-18T05:33:43-08:00
Duration: 3 min 24 s
Channel: Khushbu Rani
Description: a helicopter hovers over the center of a chemical spill in a calm body of water it is 38 meters over the center of the spill and the spill forms a circle an observer on the helicopter calculates that

          A helicopter hovers over the center of a chemical spill in a calm body of water. It is 38 meters over the center of the spill, and the spill forms a circle.

An observer on the helicopter calculates that the distance from the helicopter to the edge of the spill is 

3756
 meters. What is the area of the spill? (Round your answer to the nearest 0.1 square meters.)

Added by Taleofgaming G.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Khushbu Rani

08/18/2022

Step 1

Given: - Distance from helicopter to center of spill = 38 meters - Distance from helicopter to edge of spill = 3756 meters Using the Pythagorean theorem: \(38^2 + r^2 = 3756^2\) \(r^2 = 3756^2 - 38^2\) \(r = \sqrt{3756^2 - 38^2}\) \(r = \sqrt{14131616 - Show more…

Show all steps

Thanks for your feedback!

A helicopter hovers over the center of a chemical spill in a calm body of water. It is 38 meters over the center of the spill, and the spill forms a circle. An observer on the helicopter calculates that the distance from the helicopter to the edge of the spill is 3756 meters. What is the area of the spill? (Round your answer to the nearest 0.1 square meters.)