A circle is inscribed into an equilateral triangle as shown.
The area of the circle is shown as 2.25 π cm2.
Point T is both the midpoint of the triangle base, and a vertex of the red square.
Point S is a vertex of both the triangle and the square.
Find the area of the square.
If the area of the right angled triangle is 60cm2, find the area of the circle.
Based on Euclid’s proof. My first attempt at making an animated gif…
Two similar triangles are shown with side midpoints highlighted with red dots.
Find the area of triangle XYZ in terms of ‘a’ and ‘b’.
The shape above has been constructed using a circle of 12 equidistant dots.
What fraction of the shape with the red border is shaded blue?
2 circles sit inside rectangle ABCD, such that
AB is tangent to both circles,
AC and CD are tangent to the larger circle
BD is tangent to the smaller circle.
Find radius r2
Each of the blue and red equilateral triangles have area 100cm2 .
Point M is both the centre of the circle and a vertex of the red triangle.
Find the area of the circle.