Pangolin14

avatar
UsernamePangolin14
Score421
Membership
Stats
Questions 21
Answers 164

 #1
avatar+421 
0

https://www.desmos.com/calculator/p8bel3908b = Link to diagram

 

In a circle, "the center-radius form of the circle equation is in the format $(x – h)^2 + (y – k)^2 = r^2,$ with the center being at the point (h, k) and the radius being r." So, $(x - 5)^2 + (y + 2)^2 = 16$ is an equation of a circle centered at $(5,2).$ However, our rectangle has a vertex at the center! Thus, the area of the intersection will be $\frac{1}{4} \cdot 16 \cdot \pi,$ or $4\pi.$

.
Oct 27, 2020