Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(y-(4)/(5))^(2)+(x+(7)/(10))^(2)=30 A circle in the xy-plane has the equation. What is the radius of the circle? Round the answer to the nearest tenth.

(y−45)2+(x+710)2=30 \left(y-\frac{4}{5}\right)^{2}+\left(x+\frac{7}{10}\right)^{2}=30 \newlineA circle in the xy x y -plane has the equation. What is the radius of the circle? Round the answer to the nearest tenth.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Geometryright chevron icon
Find properties of circles from equations in general formright chevron icon

Full solution

Q. (y−45)2+(x+710)2=30 \left(y-\frac{4}{5}\right)^{2}+\left(x+\frac{7}{10}\right)^{2}=30 \newlineA circle in the xy x y -plane has the equation. What is the radius of the circle? Round the answer to the nearest tenth.
  1. Identify Center and Radius: The given equation is in the form of a circle's standard equation: x−h)²+(y−k)²=r2 where$h,kx - h)² + (y - k)² = r^2\, where \$h, k is the center of the circle and rr is the radius. Identify the center and the radius squared from the given equation.
  2. Compare with Standard Form: The given equation is (y−45)2+(x+710)2=30(y - \frac{4}{5})^2 + (x + \frac{7}{10})^2 = 30. Comparing this with the standard form, we can see that the radius squared, r2r^2, is equal to 3030.
  3. Calculate Square Root: To find the radius rr, we need to take the square root of the radius squared. Calculate the square root of 3030.
  4. Find Approximate Radius: The square root of 3030 is approximately 5.4775.477. Round this to the nearest tenth to find the radius of the circle.
  5. Final Radius Calculation: Rounding 5.4775.477 to the nearest tenth gives us 5.55.5. Therefore, the radius of the circle is approximately 5.55.5 units.

More problems from Find properties of circles from equations in general form

Question
Write the equation in standard form for the circle with radius 1111 centered at the origin. ______
Get tutor helpright-arrow

Posted 8 months ago

Question
(x+55)2+(y−11.5)2=121 (x+55)^{2}+(y-11.5)^{2}=121 \newlineA circle in the xy x y -plane has the equation shown. What is the length of the diameter of the circle?
Get tutor helpright-arrow

Posted 3 months ago

Question
(x−17)2+(y−19)2=49 (x-17)^{2}+(y-19)^{2}=49 \newlineA circle in the xy x y -plane has the equation shown. How long is the radius of the circle?
Get tutor helpright-arrow

Posted 8 months ago

Question
x2+y2−6x+14y=6 x^{2}+y^{2}-6 x+14 y=6 \newlineWhat is the length of the diameter of the circle whose equation is shown?
Get tutor helpright-arrow

Posted 7 months ago

Question
A circle in the xy x y -plane has the equation\newlinex2+y2−10x+32y+272=0.  x^{2}+y^{2}-10 x+32 y+272=0 \text {. } \newlineWhich of the following best describes the location of the center of the circle and the length of its radius?\newlineChoose 11 answer:\newline(A) Center: (10,−32) (10,-32) \newlineRadius: 417 4 \sqrt{17} \newline(B) Center: (−10,32) (-10,32) \newlineRadius: 417 4 \sqrt{17} \newline(C) Center: (−5,16) (-5,16) \newlineRadius: 33\newline(D) Center: (5,−16) (5,-16) \newlineRadius: 33
Get tutor helpright-arrow

Posted 8 months ago

Question
A circle in the xy x y -plane has the equation\newline2x2+2y2−8x−5y−558=0.  2 x^{2}+2 y^{2}-8 x-5 y-\frac{55}{8}=0 \text {. } \newlineWhat is the diameter of the circle?
Get tutor helpright-arrow

Posted 2 months ago

Question
A circle in the xy x y -plane has the equation x2+y2−6x−10y=2 x^{2}+y^{2}-6 x-10 y=2 . What is the diameter of the circle?
Get tutor helpright-arrow

Posted 7 months ago

Question
x2+y2−12x−10y+36=0 x^{2}+y^{2}-12 x-10 y+36=0 \newlineWhat is the length of the radius of the circle whose equation is shown?
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the center of the circle x2+y2−19y+26=0x^2+y^2-19y+26=0? \newline Simplify any fractions. \newline (□,□)(\square, \square)
Get tutor helpright-arrow

Posted 8 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

View all (21)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant