Question
An angle has its vertex centered at the origin of a circle. It cuts an arc length of 12 units and subtends an area of 17 square units. What is the degree measure of the angle? What is the radius of the circle?
Step 1
We can use the formula for the area of a sector of a circle: A = (1/2) * r^2 * θ, where A is the area, r is the radius, and θ is the angle in radians. Show more…
Show all steps
Your feedback will help us improve your experience
Finian Lickona and 58 other 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
Circle $O$ has a radius of 1.7 inches. What is the length, in inches, of an arc intercepted by a central angle whose measure is 2 radians?
MORE TRIGONOMETRIC FUNCTIONS
Radian Measure
The angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length. $$ \begin{array}{ccc} \text { Angle } & \text { Radius } & \text { Are Length } \\ ? & 14 & 7 \end{array} $$
Prerequisites for Calculus
Trigonometric Functions
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD