ISEE Mathematics Achievement Question 228: Answer and Explanation
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Question: 228
1. A circle has a radius of 1.35 meters. Wire costs 2¢ per centimeter. How much will it cost to stretch a wire between two points on the circle if it passes through the center?
- A. $5.40
- B. $5.56
- C. $5.64
- D. $5.72
Correct Answer: A
Explanation:
A is correct. A wire stretched between two points on a circle and passing through the center will form a diameter of the circle. Diameter = radius × 2. If the radius is 1.35 m, the diameter = 2(1.35) = 2.7 m = 270 cm. If wire costs 2¢/cm, the cost of the wire stretching across the circle will be 270 × 2¢ = 540¢ = $5.40.