1. The problem statement, all variables and given/known data Draw a circle of radius R with the center at the origin. Get the function that represents the top half of the circle. Let d be between 0 and R. State the definite integral that gives this area. Let P be the point were x=d intersects the curve. Let theta be the angle between the line and the horizontal, show that it equals cos^-1(d/R). a) Give a formula for the area of a slice of a disk with angle theta. b) Give a formula for the area of the triangle formed by P, the origin, and the point (d,0) c) Now use this information to find a formula for: the integral(from d to R) of sqr(R^2-x^20 2. Relevant equations R^2 = x^2 + y^2 Area of triangle =0.5bh 3. The attempt at a solution What would a slice of a disk be? would the area be: Height*dx , where dx is the base? Area of tri = 0.5 dRsin(theta) what other formula do we need to find? the integral or another equation that is equal to the given one.