Jasmine R.

asked • 05/29/20# 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.

## 2 Answers By Expert Tutors

Janelle S. answered • 05/29/20

Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)

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 cm^{2} = b*h = (π r) * (r) = π r^{2}

→ r = √42.25 = 6.5 cm

h = r = 6.5 cm

Vaishnavi J.

Although I would have cautioned against assuming that r will always be the height initially, I just realized that any line drawn from the center (the tip of the section) to the curve would be a radius!05/29/20

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Stanton D.

Sorry, this does not easily call to mind what rearrangement of sections has been done.?05/29/20