Bearings or azimuths start with 0 degrees toward true north, 90 degrees east, 180 degrees south, and 270 degrees west (clockwise rotation). Show
Applicants will find this program helpful in determining compliance with the minimum spacing table in 47 CFR 73.207 for FM stations or 47 CFR 73.610 for television stations. DXers (long distance listeners and viewers) can use this function to find the distance and bearings to, and antenna orientation to best receive, distant stations. Station coordinates may be found through the AM Query, FM Query, or the TV Query.
Questions on Find Terminal Coordinates may be directed to Dale Bickel, [email protected].
Information about television stations is available at the Video Division.
Bureau/Office: Media Tags: AM Radio - Class A and Low Power Television - Data - Data, Maps, Reports - FM Radio - Low Power FM - Radio - Television - Translators Have you ever wondered how to find the central angle of a circle? The central angle calculator is here to help; the only variables you need are the arc length and the radius. Read on to learn the definition of a central angle and how to use the central angle formula. What is a central angle?A central angle is an angle with a vertex at the centre of a circle whose arms extend to the circumference. You can imagine the central angle being at the tip of a pizza slice in a large circular pizza. You can find the central angle of a circle using the formula:
where Where does the central angle formula come from?The simplicity of the central angle formula originates from the definition of a radian. A radian is a unit of angular size, where 1 radian is defined as a central angle ( The circle angle calculator in terms of pizzaBecause maths can make people hungry, we might better understand the central angle in terms of pizza. Believe it or not, but pizzas are great to explain the math of a circle, as you can see at our pizza size calculator What would the central angle be for a slice of pizza if the crust length (LLL) was equal to the radius (rrr)? Since the problem defines L=rL = rL=r, and we know that 111 radian is defined as the central angle when L=rL = rL=r, we can see that the central angle is 111 radian. We could also use the central angle formula as follows: θ=Lr=LL=1 rad\begin{split} \theta&=\frac{L}{r}\\ &=\frac{L}{L}\\ &=1\ \mathrm{rad} \end{split}θ=rL=LL=1 rad How many pizza slices with a central angle of 1 radian could you cut from a circular pizza?In a complete circular pizza, we know that the central angles of all the slices will add up to 2π radians = 360°. Since each slice has a central angle of 111 radian, we will need 2π/1=2π2\pi / 1 = 2\pi2π/1=2π` slices, or 6.286.286.28 slices to fill up a complete circle. We arrive at the same answer if we think this problem in terms of the pizza crust: we calculate the circumference of a circle is 2πr2\pi r2πr. Since the crust length = radius, then 2πr/r=2π2\pi r / r = 2\pi2πr/r=2π crusts will fit along the pizza perimeter. Now, if you are still hungry, take a look at the sector area calculator to calculate the area of each pizza slice! Bonus challenge - How far does the Earth travel in each season?Try using the central angle calculator in reverse to help solve this problem. The Earth is approximately 149.6 million km away from the Sun. If the Earth travels about one quarter of its orbit each season, how many km does the Earth travel each season (e.g., from spring to summer)? Let's approach this problem step-by-step:
You can try the final calculation yourself by rearranging the formula as: L=θ⋅rL = \theta \cdot rL=θ⋅r Then convert the central angle into radians 90°=1.57 rad90\degree = 1.57\ \mathrm{rad}90°=1.57 rad (use our angle converter if you don't remember how to do this), and solve the equation: L=1.57⋅149.6×106 km234.9×106 km\begin{split} L &= 1.57\cdot 149.6\times 10^6\ \mathrm{km}\\ &234.9\times 10^6\ \mathrm{km} \end{split}L=1.57⋅149.6×106 km234.9×106 km When we assume that for a perfectly circular orbit, the Earth travels approximately 234.9 million km each season! FAQHow to find the central angle of a circle?To find the central angle of a circle, use the formula:
To find the central angle of a circle, you need to calculate the ratio of arc length to the radius of a circle. How to find radius with arc length and central angle?To find a radius with arc length and central angle, you need to take calculate the ratio of the arc length and central angle. How do you find the coordinates when given the radius and angle?Typically, to find the x, y coordinates on a circle with a known radius and angle you could simply use the formula x = r(cos(degrees°)), y = r(sin(degrees°)).
How do you find the coordinates of an angle?If your starting point is (0,0), and your new point is r units away at an angle of θ, you can find the coordinates of that point using the equations x = r cosθ and y = r sinθ.
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Find coordinates given angle and radius calculator
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