Parts of Areas and Circumferences of Circles – Practice Problems

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When dealing with a fractional part of a circle, called a sector, multiply the fraction by πr² to get its area or by 2πr to get its circumference. A knowledge of parts of areas and circumferences of circles plays a major role in an architect’s design of a dome that is essential in terms of determining material requirement and ensuring safety. This also comes in handy in creating graphic designs and is always put into consideration when constructing curves and arcs in amusement parks. Learn how to compute for areas and circumferences of sectors by helping the event coordinators of the 5th Annual Polar Games find suitable ice floe locations for the Penguin Sumo Wrestling, Polar Bear Figure Skating, and Walrus Swimming events. Common Core Reference: CCSS.MATH.CONTENT.7.G.B.4

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Exercises in this Practice Problem
Find the area of the sectors.
Find the circumferences of the sectors.
Decide which ice floe has enough area to house the Polar Games Village.
Calculate the area of the stadium seating.
Recall the formulas for the area and circumference of both a circle and a sector of a circle.
Solve for the circumference of the ice floe for the Dolphin sprint.