An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.
A. 143.24
B. 36.76
C. 2.50
D. 216.76
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Question
An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.
A. 143.24
B. 36.76
C. 2.50
D. 216.76
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Answer:
arc length = circumference • [central angle (degrees) ÷ 360]
central angle (degrees) = 360 * arc length / circumference
circumference = PI * 2 * 4 = 25.1327412287
central angle (degrees) = 360 * 10 / 25.1327412287
central angle (degrees) = 143.2394487828
answer is A——–