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3 years ago

5x

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

6 0

This question is incomplete

Complete Question

If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches

a 33.4 inches

b. 35.6 inches

C. 37.5 inches

d. 39.3 inches

Answer:

d. 39.3 inches

Step-by-step explanation:

We are to find the Arc length of the circle

To solve the above question, the formula is given as:

Arc length = Central angle × radius

From the above Question, we are given:

Central angle = 5pi/6 = 5π/6

Radius = 15 inches

Hence,

Arc length = 5π/6 × 15 inches

Arc length = 235.61944901923448/ 6

Arc length = 39.26990817 inches

Approximately , the Arc length

= 39.3 inches.

Therefore, Option d is the correct answer.

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