We appreciate your visit to If the measurement of a central angle is tex 5x tex find the length of its intercepted arc in a circle with a radius of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The length of the intercepted arc is approximately 39.3 inches. Therefore, the correct answer is option D.
To find the length of the intercepted arc when the central angle is [tex]\frac{5\pi}{6}[/tex] radians in a circle with a radius of 15 inches, we use the formula for arc length :
- Arc Length = θ × r
- θ = [tex]\frac{5\pi}{6}[/tex] radians
- r = 15 inches
- Substitute the given values into the formula :
Arc Length = [tex]\frac{5\pi}{6}[/tex] × 15 = [tex]\frac{75\pi}{6}[/tex] = 12.5[tex]\pi[/tex] = 12.5 × 3.14 ≈ 39.3 inches
- Therefore, the length of the intercepted arc is approximately 39.3 inches.
Complete Question :
If the measurement of a central angle is [tex]\frac{5\pi}{6}[/tex] radians, find the length of its intercepted arc in a circle with a radius of 15 inches.
Thanks for taking the time to read If the measurement of a central angle is tex 5x tex find the length of its intercepted arc in a circle with a radius of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
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.
