Mathematics

Problem

Attempt any one of the following: a. Find the area of the region enclosed between the two circles

x^2 + y^2 = 4

and

(x - 2)^2 + y^2 = 4

. b. Prove that the curves

y^2 = 4x

and

x^2 = 4y

divide the area of the square bounded by

x = 0

x = 4

y = 4

and

y = 0

into three equal parts.