A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 42.25π square centimeters.

Answer 1

If you alternate the direction of the sections of the circle, you create a parallelogram with a base equal to half of the circumference of the circle and a height equal to the radius of the circle.

b = (1/2) (circumference of circle) = (1/2) (2π r) = π r

h = r

A = 42.25 π cm² = b*h = (π r) * (r) = π r²

→ r = √42.25 = 6.5 cm

h = r = 6.5 cm