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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter55: Introduction To Circles
Section: Chapter Questions
Problem 26A
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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?
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