An arc of a circle of radius 14 cm subtends a central angle of 90 degrees. What is the length of this arc? (Take pi = 22/7)
Answer and explanation
Correct answer: B. 22 cm
- Step 1: Arc length formula: L = (theta / 360) 2 pi r. Step 2. Substitute values: L = (90 / 360) 2 (22 / 7) 14 = (1 / 4) 2 22 2 = (1 / 4) 88 = 22 cm. Answer: 22 cm. Why not the others: 44 cm is half the circle circumference; 11 cm divides by 8; 88 cm is the full circumference.
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