Question
Asked Sep 2, 2019
60. In the figure at the right, C is the center of the circle, which
has a radius of 6. The length of the arc s is 18. Detemine the
lengths of the line segments AD, DC, and AB, rounded to the
nearest thousandth.
S
B
Answers.
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60. In the figure at the right, C is the center of the circle, which has a radius of 6. The length of the arc s is 18. Detemine the lengths of the line segments AD, DC, and AB, rounded to the nearest thousandth. S B Answers.

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check_circleExpert Solution
Step 1

Length of the arc, s = 18

radius, r = 6

Hence, angle corresponding to the arc AB = angle ACB = s / r = 18 / 6 = 3 radians = 3 x 180 / π = 172 degrees

C
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C

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Step 2

In the right angeld triangle, ADC

Angle ACD = ϴ = 180° - 172° = 8°

AC = r

Hence, AD = rsinϴ = 6 x ...

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Tagged in

Math

Calculus