Problema Solution

Find the area of the region that lies outside the circle x sqrd + y sqrd = 4 but inside the circle x sqrd + y sqrd -4y - 21 = 0.

Your answer is ___________.

Answer provided by our tutors

x^2 +y^2 =2^2

x^2 +y^2 -4y-21 =0 --> x^2 +(y-2)^2 = 5^2

S =S1-S2 =  pi(5)^2 - pi(2^2) = 21pi = 65.94

The answer is 65.94