 Area of a triangle can be calculated using its perimeter and the radius of the circle which is inscribed in the triangle. Worked Examples of Area of a Triangle using Radius and Perimeter (a)    Find an expression for the area of $\triangle LOM$. Show Solution \begin{aligned} \displaystyle \text{Area of } \triangle LOM &= [...] # Collinear Proof in Circle Geometry Collinear Proof can be done in Circle Geometry by showing Three or more points lie on a single straight line. Adding the angles in the straight line should be a 180 degrees. Worked Examples of Collinear Proof Circle Geometry Prove that the points \(Q, T and $P$ are collinear. Show Solution \begin{aligned} \require{color} \angle [...] # Cyclic Quadrilateral in Circle Geometry Cyclic Quadrilateral is inscribed into a circle, whose vertices all lie on a circle. The properties of Cyclic Quadrilateral in Circle Geometry are; 1. Opposite angles in a cyclic quadrilateral supplementary. 2. Exterior angle and its opposite angle are equal. Worked Examples of Cyclic Quadrilateral (a) Prove that \(FADG is a cyclic quadrilateral. Show Solution [...] # Circle Geometry with Semicircles

There are many properties of circle geometry with semi circles, such as equal arcs on circles of equal radii subtend equal angles at the centres equal angles at the centre stand on equal chords the angles at the centre is twice an angle at the circumference subtended ay the same arc the perpendicular from the [...]