3
QuizMultiple Choice

Application of Distance, Midpoint, and Slope — Quiz

Question 3 • Geometry with Statistics

The wheels of a race car are going to be protected with a plastic circle cap. The scale drawing of the plans for the cap shows the center of one wheel at (−9,−7) and one point on the circle at (−10,−11) What is the approximate area of the cap in units on the scale drawing? Use 3.14 for π

Answer
A
2 comma 150 point 9 units2
B
8 comma 603 point 6 units2
C
53 point 3 8 units2
D
213 point 5 2 units2

Explanation

The radius is the distance from the center (−9, −7) to the point (−10, −11). The coordinate differences are −1 and −4, so the radius squared is (−1)² + (−4)² = 17. Using area = πr², the cap’s area is 3.14 × 17 = 53.38 square units, approximately 53.38 units², choice C.

AI-written and checked against the verified answer.

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