Question

Difficulty: EasyCircular Area and Circumference Applications

A circular water pipe has a diameter of 88 inches. What is the cross-sectional area of the pipe? Use π=3.14\pi = 3.14.

Answer: 50.24 square inches

Answer

50.24 square inches
The area of a circle is calculated using the formula A=πr2A = \pi r^2. First, find the radius by dividing the diameter by 2 (8÷2=48 \div 2 = 4). Then, substitute r=4r = 4 and π=3.14\pi = 3.14 into the formula: A=3.14×42=3.14×16=50.24A = 3.14 \times 4^2 = 3.14 \times 16 = 50.24.

Step-by-Step Solution

1
Find the radius of the pipe.
Radius = 4 inches
The formula for the area of a circle requires the radius, which is exactly half of the diameter.
2
Calculate the cross-sectional area using the area formula.
Area = 50.24 square inches
Squaring the radius (16) and multiplying by 3.14 gives the total area of the circle.

Key Concept

Calculating the area of a circle given its diameter.
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