A circle is centered at (x, y) = (0,0). The point (x, y) = (3.153, 1.519) is on the circle. What is the radius of the circle? %3D

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
For the following questions, start by drawing a diagram!
a. A circle is centered at (æ, y) = (0, 0) and has a radius 4.5 units long. A point on the circle has an r-coordinate of 3. What is the y-
coordinate of the point? (Assume y > 0.)
y = 3.3541
Preview
Correct! Since x² + y? = r² and we know that æ = 3 and r = 4.5 we can say that
2? + y? = r?
32
+ y² = 4.52
y? = 4.52 – 32
y =
4.5² – 32
Yz 3.354
b. A circle is centered at (x, y) = (0, 0). The point (x, y) = (3.153, 1.519) is on the circle. What is the radius of the circle?
r=
Preview
* Try again. For any point (x, y) on a circle centered at (0,0), how do the values of the coordinates relate to the radius of the circle?
Transcribed Image Text:For the following questions, start by drawing a diagram! a. A circle is centered at (æ, y) = (0, 0) and has a radius 4.5 units long. A point on the circle has an r-coordinate of 3. What is the y- coordinate of the point? (Assume y > 0.) y = 3.3541 Preview Correct! Since x² + y? = r² and we know that æ = 3 and r = 4.5 we can say that 2? + y? = r? 32 + y² = 4.52 y? = 4.52 – 32 y = 4.5² – 32 Yz 3.354 b. A circle is centered at (x, y) = (0, 0). The point (x, y) = (3.153, 1.519) is on the circle. What is the radius of the circle? r= Preview * Try again. For any point (x, y) on a circle centered at (0,0), how do the values of the coordinates relate to the radius of the circle?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Indefinite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning