Definition : Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle. This is Known as ASA Congruency. For given two triangles, AB = XZ , \(\angle\) A = \(\angle\) X and \(\angle\) B = \(\angle\) Z, then using …
What is ASA (Angle Side Angle) Congruence Rule ? Read More »
Here you will learn what is the congruence of triangle and criteria for congruence of triangles i.e. SSS, SAS, ASA, AAS and RHS. Let’s Begin – Congruence of Triangles Two triangles are congruent if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle. They are …
Congruence of Triangles – Criterion and Conditions Read More »
Solution : Circumradius Formula (R) = \(abc\over 4\Delta\) where R = radius of circumcircle described about a given triangle with sides a, b, c. \(\Delta\) = \(\sqrt{s(s – a)(s – b)(s – c)}\) and s = \(a + b + c\over 2\) where a, b and c are the sides of triangle.
Solution : Inradius Formula (r) = \(\Delta\over s\) Where r = radius of the circle inscribed in a given triangle \(\Delta\) = area of the given triangle \(\Delta\) = \(\sqrt{s(s – a)(s – b)(s – c)}\) s = half perimeter of the given triangle s = \(a + b + c\over 2\) for all a, …
Here you will learn what is the formula for major and minor segment of a circle to find its area with examples. Let’s begin – What is the Segment of a Circle ? A segment of a circle is defined as the part of circle bounded by a chord and the arc. In the figure, …
Here you will learn perimeter and area of sector of circle formula with examples. Let’s begin – What is Sector of a Circle ? The region bounded by two radii of a circle and the arc intercepted by them is called a sector of the circle. A sector is measured by the angle which its …
Sector of a Circle Area and Perimeter – Formula and Examples Read More »
Here you will learn what is the formula for length of arc of circle with examples based on it. Let’s begin – What is an Arc ? Arc is a piece of circle. In the figure AB is an arc. The area OAB in the figure is called sector of the circle. Formula for Length …
Formula for Length of Arc of Circle with Examples Read More »
Here you will learn what is the formula for the area of circular ring and examples based on it. Let’s begin – Area of a Ring Let R and r be the outer and inner radii of a ring. Then, area of a ring = \(\pi(R^2 – r^2)\) Also Read : Area of a Circle …
Here you will learn what is the formula for the area of circle and semicircle with examples. Let’s begin – Area of a Circle Formula Area = \(\pi r^2\) where r is the radius of the circle. Area of Semicircle Formula Area of Semicircle = \({1\over 2} \pi r^2\) where r is the radius of …
Area of a Circle and Semicircle – Formula and Examples Read More »
Here you will learn what is the formula for circumference of circle (perimeter of circle) with examples. Let’s begin – What is Circumference ? The perimeter (boundary) of a circle is called its circumference. It is the distance covered by travelling once around circle. Formula for Circumference of Circle (Perimeter of Circle) Circumference of circle …
Formula for Circumference of Circle (Perimeter) – Examples Read More »
