Hi All,
I have posted a video on you-tube to discuss about
Equilateral Triangle Inscribed in A CircleAnd,
Length of Major and Minor Arc formed by a Side of an Equilateral Triangle Inscribed in a CircleFollowing is Covered in the Video
¤ Equilateral Triangle Inscribed in a Circle : Properties
-> Measure of Center Angle
-> Height of Triangle
-> Base of Triangle
-> Area of Triangle
¤ Length of Minor Arc formed by one side of the triangle
¤ Length of Major Arc formed by one side of the triangle
Measure of Center AngleMeasure of Center Angle ∠AOB = ∠AOC = ∠BOC = 120° (
Watch this video to understand how )
Hint: ∠ACB = 60°, so center angle will be twice of it
Also, ∠OAB = ∠OBA = 30°
∠OBC = ∠OCB = 30°
∠OAC = ∠OCA = 30°
Height of TriangleHeight of triangle, h (AD) = (
Watch this video to understand how )
Base of TriangleBase of triangle, BC = √𝟑 r (
Watch this video to understand how )
Area of TriangleArea of triangle ABC = (
Watch this video to understand how )
Length of Minor Arc formed by one side of the triangleLength of Minor Arc AB = r =
(as Minor angle ∠AOB = 120˚)
(
Watch this video to understand how )
Length of Major Arc formed by one side of the triangleLength of Major Arc AB = =
(as Major angle ∠AOB = 240˚)
(
Watch this video to understand how )
Hope it helps!