WebThe equation, x 2 + y 2 = 64, is a circle centered at the origin, so the standard form the parametric equations representing the curve will be x = r cos t y = r sin t 0 ≤ t ≤ 2 π, where r represents the radius of the circle. Since r 2 = 64, the value of the circle’s radius is equal to r = 8. Hence, we have the parametric equations shown below. WebThe equation of the center of the circle is ( x – h) 2 + ( y – k) 2 = r 2 . Center coordinates ( h, k) are ( 3, 4), radius r = 5 units. By substituting these values for h,k, and r in the equation, we have, ( x − 3) 2 + ( y − 4) 2 = 5 …
Find the Equation of the Circle (-5,7) , radius=7 Mathway
WebJul 15, 2024 · Writing the equation of a circle centered at the origin given its radius or a point on the circle Follow • 2 Add comment Report 1 Expert Answer Best Newest Oldest David W. answered • 07/15/18 Tutor 4.9 (106) I'll help you understand math! About this tutor › (x - h) 2 + (y - k) 2 = r 2 (h,k) is the center (x - 0) 2 + (y - 0) 2 = 8 2 x2 + y2 = 64 WebAnswer. Recall that the standard form for the equation of a circle is given by ( 𝑥 − ℎ) + ( 𝑦 − 𝑘) = 𝑟, where ( ℎ, 𝑘) is the center of the circle and 𝑟 is the radius. In this example, we have been given that the center is ( 8, 4), so ℎ = 8 and 𝑘 = 4. We have also been given that the radius is 9, so 𝑟 = 9, and ... shard promotional code
Find the Equation of the Circle (-5,7) , radius=7 Mathway
WebMar 2, 2024 · The equation of a circle with center (h,k) and radius r is given by (x−h)^2+(y−k)^2=r^2. For a circle centered at the origin, this becomes the more familiar equation x^2+y^2=r^2. Because we know the circle is centered at the origin, i.e. (0,0), we can use this fact along with the point which the circle passes through (-6,-2) to find the … WebJun 13, 2016 · where (a ,b) are the coordinates of the centre and r, the radius. here a = 10 , b =-1 and r = 10. Substitute these values into the standard equation. ⇒ (x − 10)2 + (y +1)2 = 100 is the equation. Answer link. WebDifferent Forms of Equation of Circle General Equation of a Circle. The general form of the equation of a circle is: x 2 + y 2 + 2gx + 2fy + c = 0. This... Standard Equation of a Circle. The standard equation of a circle … poole to southampton airport