19
QuizMultiple Choice

Area of a Circle and a Sector — Quiz

Question 19 • MASTER COURSE Geometry

A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3 point 1 4 for pi

Answer
A
379 point 9 4 ft squared
B
172 point 7 0 ft squared
C
178 point 9 8 ft squared
D
200 point 9 6 ft squared

Explanation

The path extends the garden’s radius from 8 feet to 11 feet, since its width is 3 feet. The path’s area is the outer circle’s area minus the garden’s area: 3.14 × (11² − 8²) = 3.14 × (121 − 64) = 178.98 square feet. The answer is B, 178.98 ft².

AI-written and checked against the verified answer.

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