National Occupational Competency Testing Institute (NOCTI) Carpentry Practice Exam

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Prepare for the NOCTI Carpentry Exam. Study using flashcards and multiple-choice questions, each with detailed explanations and tips. Get ready for your exam with confidence!

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What is the area of a circle with a radius of 5 cm?

78.5 cm²
31.4 cm²
25 cm²
10 cm²

The correct answer is: 78.5 cm²

The area of a circle can be calculated using the formula A = πr², where A represents the area and r is the radius of the circle. In this case, the radius is given as 5 cm. To find the area, substitute 5 cm for r in the formula: A = π(5 cm)² A = π(25 cm²) A = 25π cm² Using the approximate value of π as 3.14, we can calculate: A ≈ 25 × 3.14 A ≈ 78.5 cm² Thus, the area of the circle with a radius of 5 cm is approximately 78.5 cm², making it the correct answer. This choice accurately reflects the application of the formula for the area of a circle, illustrating key geometric concepts vital in carpentry and construction calculations. Other options provided do not correspond to the correct application of the area formula for the specified radius.