we need to know what fraction of the circle is shown. To do this, we use the angle and compare it with 360˚. This angle is 144°. That is \(\frac{{144^\circ }}{{360^\circ }} = \frac{2}{ ...

times {m_{tgt}} = - 1\) to find the gradient of the tangent. Find the equation of the tangent to the circle \({x^2} + {y^2} - 2x - 2y - 23 = 0\) at the point \(P(5, - 2)\) which lies on the circle.