E and D are the centres of each circle.
Points E, D, and B can be connected with a straight line.
AB is 2/5 of FB
If AB is 20cm:
1. Find the radii
2. Find the orange shaded area.
Find the area of the shape. (Assume the right angle is formed at the centre of the circle).
This regular heptagon has side length 4cm. Find the area of the red shape.
A sequence of increasingly large squares is constructed as shown in the diagram.
Each right angled triangle has a hypotenuse that bisects two sides of a square.
The area of the smallest square is 4cm2.
Find the nth term for the area of squares.
Find the area of the 9th right angled triangle.
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.
Two similar triangles are shown with side midpoints highlighted with red dots.
Find the area of triangle XYZ in terms of ‘a’ and ‘b’.
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.