Areas of regions Make a sketch of the region and its bounding curves. Find the area of the region.
The region inside the rose r = 4 sin 2θ and inside the circle r = 2
We find the area between the the rose r = 4 sin 2θ and inside the circle r = 2
The two curves intersect where
Then the area becomes
Then we just need to double our answer to find the entire area bound by the lemniscate.
so the area we seek is
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Areas of regions Make a sketch of the region and its bounding curves. Find the area of the region.The region inside the rose r = 4 sin 2? and inside the circle r = 2” is broken down into a number of easy to follow steps, and 35 words. The full step-by-step solution to problem: 27E from chapter: 10.3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 27E from 10.3 chapter was answered, more than 243 students have viewed the full step-by-step answer. This full solution covers the following key subjects: region, inside, its, circle, curves. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.