6
QuizMultiple Choice

Application of Distance, Midpoint, and Slope — Quiz

Question 6 • Geometry with Statistics

A sporting goods company produces an archery target. The scale drawing of the plan shows the center at (−1.5,3.5) and one point on the circle at (8,9) What is the approximate area of the target in units on the scale drawing? Use 3.14 for π , and round the answer to the nearest whole number.

Answer
A
656 units2
B
378 units2
C
3 comma 219 units2
D
1 comma 513 units2

Explanation

The radius is the distance from the center (−1.5, 3.5) to the point (8, 9). Using the distance formula, its square is (8 − (−1.5))² + (9 − 3.5)² = 9.5² + 5.5² = 120.5. The circle’s area is πr², so 3.14 × 120.5 = 378.37, which rounds to 378 square units. The correct choice is B, 378 units².

AI-written and checked against the verified answer.

Previous
Next