9
QuizMultiple Choice

Application of Distance, Midpoint, and Slope — Quiz

Question 9 • Geometry with Statistics

A new merry-go-round is being installed on the fairgrounds. A scale of the plans is drawn on a coordinate plane with the center at (−3,5) and a point on the circle at (−8,−2) What is the approximate length in units on the scale drawing of the merry-go-round's edge? Use 3.14 for π , and round your answer to the nearest tenth.

Answer
A
27 point 0 units
B
81 point 9 units
C
54 point 0 units
D
40 point 9 units

Explanation

The radius is the distance from the center (−3, 5) to the point (−8, −2): √[(−8 + 3)² + (−2 − 5)²] = √74 ≈ 8.6 units. The edge length is the circle’s circumference, so C = 2πr ≈ 2(3.14)(8.6) ≈ 54.0 units. The correct choice is C, 54.0 units.

AI-written and checked against the verified answer.

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