In the diagram O is the center of circle PRQ. The radius is 3.5cm and ?POQ = 50o. Use the diagram to answer question below. (take ? = 3.142) Calculate corre...
Question 1 Report
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ?POQ = 50o. Use the diagram to answer question below. (take ? = 3.142)
Calculate correct to one decimal place, the length of arc PQ.
Answer Details
To find the length of arc PQ, we need to first find the circumference of the circle. The circumference of a circle with radius r is given by the formula:
C = 2πr
Substituting the given values, we get:
C = 2 × 3.142 × 3.5
C ≈ 21.991cm
Since the angle ?POQ is 50 degrees and the total angle of a circle is 360 degrees, the length of arc PQ is given by:
length of arc PQ = (50/360) × C
length of arc PQ ≈ 3.054cm ≈ 3.1cm (rounded to one decimal place)
Therefore, the correct answer is 3.1cm.
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