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Students call in to solve circle problems: circumference, area and scale
Summary
Several students called the Math Homework Hotline to solve circle and proportion problems: a 24-inch diameter float circumference (75.36 inches using π=3.14), an exact circumference given radius 2.6 cm (5.2π cm), and a cake-top area question (200.96 square inches). Hosts stepped callers through the formulas and units.
During the Math Homework Hotline broadcast, multiple student callers worked through circle-related word problems with hosts Maggie Mixon and Canela Prado.
A caller named Nikkita used the diameter-based circumference formula with π approximated as 3.14. With a diameter of 24 inches, the on-air calculation produced a circumference of 75.36 inches; Mixon explained why the formula πd (or 2πr) implies multiplication and reminded callers that circumference units remain linear (inches), not square.
Another caller, Rocco, was given a radius of 2.6 centimeters and asked for the exact circumference. The hosts guided Rocco to leave π symbolic; after multiplying 2×2.6 the host restated the exact result on air as “5.2 π centimeters.” Mixon praised the caller’s work: “Good job, Rocco.”
In a separate call, Bry (teacher: Miss Applegarth) solved an area question for a round cake with a 16-inch diameter. Following steps—radius = 8 inches, area = πr², and using π = 3.14—the hosts and caller calculated the top area as 200.96 square inches and noted that area requires square units.
The hosts used the calls to reinforce common classroom points: choose the formula that fits given information (πd vs. 2πr), convert diameter to radius when required, respect order of operations for exponents, and include correct units (inches for circumference, square inches for area).
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