You may also like
Bendy Quad
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.
Get Cross
A white cross is placed symmetrically in a red disc with the central square of side length sqrt 2 and the arms of the cross of length 1 unit. What is the area of the disc still showing?
Age 14 to 16 Challenge Level:
Given a square $ABCD$ of sides $10$ cm, and using the corners as centres, construct four quadrants with radius $10$ cm each inside the square. The four arcs intersect at $P$, $Q$, $R$ and $S$. Find the area enclosed by $PQRS$.
Pythagoras' theorem. Creating and manipulating expressions and formulae. Sine, cosine, tangent. Area - circles, sectors and segments. Angles - points, lines and parallel lines. Circle properties and circle theorems. 2D shapes and their properties. Sine rule & cosine rule. Investigations. Regular polygons and circles.
Copyright © 1997 - 2019.
University of Cambridge. All rights
reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.