A circle C C\,C has centre M(6,4)M(6, 4)M(6,4) and radius 3.
Write down the equation of the circle in the form (x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2(x−a)2+(y−b)2=r2.
Figure 3 shows the circle CCC. The point T T\,T lies on the circle and the tangent at T T\,T passes through the point P(12,6)P(12, 6)P(12,6). The line MP MP\,MP cuts the circle at QQQ. Show that the angle TMQ TMQ\,TMQ is 1.0766 radians to 4 decimal places.
The shaded region TPQ TPQ\,TPQ is bounded by the straight lines TPTPTP, QP QP\,QP and the arc TQTQTQ, as shown in Figure 3. Find the area of the shaded region TPQTPQTPQ. Give your answer to 3 decimal places.
6 exam-style questions on Edexcel A Level Old Maths Coordinate Geometry - Cirlces. Each one has a worked solution and a mark scheme showing where the marks go.