Exercise 64 Page 71

We can find the area of the circle using the formula for the area of a circle. First, we need to find the radius by substituting the given value, 6π5 into the equation for the circumference in terms of r. C=2π r ⇒ 6π/5=2π rNow, we can solve for r.

6π/5=2π r

DivEqn

.LHS /2π.=.RHS /2π.

6/10=r

ReduceFrac

a/b=.a /2./.b /2.

3/5=r

Finally, we can substitute the radius into the equation for the area of circle. A=π r^2 ⇒ A=π (3/5)^2 When we square 35, we find the solution, A=π * 925 making the area 9π25 units^2.