Скачайте изображение (превью) выбрав качество

320x180 480x360 640x480 1280x720

The equation of a circle is (x - a)^2 + (y - b)^2 = r^2, where (a, b) is the centre of the circle and r is the radius. The coordinates of the centre point (a, b) are in the brackets with the x and y, but you just need to remember to change the sign of (a, b). On a circle, the tangent is always perpendicular to the radius. We use this key piece of information when finding the equation of the tangent. We then use our knowledge of the equation of a circle, and the equation of straight lines (y = mx + c) to find the equation of the tangent. If we know the centre is at (3, 2) and the tangent is at (6, -2) so we use this to find the gradient of the radius. If the gradient of the radius is -4/3 because the tangent is perpendicular to this, we can flip the gradient and change the sign, so the gradient of the tangent is 3/4. The equation of the tangent must be y equals ¾ x + c, where 'c' is the y-intercept. Then using the coordinates of the point on the circle which are (6, -2) for this example, substitute x is 6 and y is -2 in to find the missing y-intercept ‘c’ value. So the equation of the tangent is y = 34 x - 6.5.

SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.

VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.

These videos can be used in a flipped classroom model or as a revision aid.

Find all of our Chemistry videos here:


Find all of our Biology videos here:


Find all of our Maths videos here:


Twitter:

Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org
Follow us:
Friend us:

This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org

Чтобы скачать видео "Equation Of A Tangent To A Circle | Graphs | Maths | FuseSchool" передвинте ползунок вправо