18. In a circle, a central angle containing 1.5 radians intercepts an arc whose measure 18 centimeters. The length of the radius is a) \( 6 \mathrm{~cm} \) b) \( 12 \mathrm{~cm} \) c) \( 24 \mathrm{~cm} \) d) \( 27 \mathrm{~cm} \)
Added by Sharon B.
Close
Step 1
The formula that connects these three is \( l = \theta r \), where \( l \) is the arc length, \( \theta \) is the central angle in radians, and \( r \) is the radius of the circle. Show more…
Show all steps
Your feedback will help us improve your experience
Aparna Shakti and 93 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In a circle, an arc of length 8$\pi \mathrm{cm}$ is intercepted by a central angle of $\frac{2 \pi}{3}$ radians. What is the radius of the circle? $$ \begin{array}{lllll}{\text { A. } \frac{3 \pi}{16} \mathrm{cm}} & {\text { B. } \frac{16 \pi}{3} \mathrm{cm}} & {\text { C. } \frac{16 \pi^{2}}{3} \mathrm{cm}} & {\text { D. } 12 \mathrm{cm}}\end{array} $$
Periodic Functions And Trigonometry
Radian Measure
'The length of an arc is 18 cm and the radius of the circle is 6 cm What is the radian measure of the central angle? (Only input the numerical answer)'
Joy S.
What is the length of the arc of a circle of radius $30 \mathrm{~cm}$ which subtend an angle $\frac{\pi}{6}$ at the centre? (a) $11.7 \mathrm{~cm}$ (b) $14.7 \mathrm{~cm}$ (c) $16.7 \mathrm{~cm}$ (d) $15.7 \mathrm{~cm}$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD