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:

The planet Neptune orbits the Sun. Its orbital radius is 30.1 astronomical units (AU). Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of pi. AU

The planet Neptune orbits the Sun. Its orbital radius is 3030.11 astronomical units (AU).\newlineAssuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?\newlineGive your answer in terms of π \pi .\newline□\square AU

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Find trigonometric ratios using a Pythagorean or reciprocal identityright chevron icon

Full solution

Q. The planet Neptune orbits the Sun. Its orbital radius is 3030.11 astronomical units (AU).\newlineAssuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?\newlineGive your answer in terms of π \pi .\newline□\square AU
  1. Calculate Circumference: To find the distance Neptune travels, we need to calculate the circumference of its orbit, which is a circle.\newlineCircumference of a circle =2×π×radius= 2 \times \pi \times \text{radius}.
  2. Find Orbital Radius: Neptune's orbital radius is given as 30.130.1 AU.\newlineSo, the circumference (distance traveled in one orbit) = 2×π×30.12 \times \pi \times 30.1 AU.
  3. Perform Calculation: Now, let's do the calculation.\newlineCircumference = 2×π×30.1=60.2×π2 \times \pi \times 30.1 = 60.2 \times \pi AU.

More problems from Find trigonometric ratios using a Pythagorean or reciprocal identity

Question
Convert the angle θ=9π5 \theta=\frac{9 \pi}{5} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=133π72 \theta=\frac{133 \pi}{72} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=14π9 \theta=\frac{14 \pi}{9} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=257π360 \theta=\frac{257 \pi}{360} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=29π15 \theta=\frac{29 \pi}{15} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=23π20 \theta=\frac{23 \pi}{20} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=5π12 \theta=\frac{5 \pi}{12} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=70∘ \theta=70^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=290∘ \theta=290^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 10 months ago

Question
Convert the angle θ=17π18 \theta=\frac{17 \pi}{18} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 10 months ago

View all (16)

Related topics

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