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.
3 congruent rectangles are arranged as shown, such that two rectangles have a vertex pinned to the centre of a different rectangle.
Find the perimeter of the red triangle.
A square overlaps a circle as shown.
Two vertices lie on the edge of the circle.
Write a suitable formula for the area of the remainder of the circle.
Use r for radius, s for a side of the square, and θ.
Use these 3 similar triangles to prove the Pythagorean Theorem.
(no, i didn’t write this one 😉 )
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.