A regular pentagon is drawn with vertices on a circle of radiús 15 centimetres. Calculate the length of its sides.

Prove that the.circumcentre of an equilateral triangle is the same as its centroid. i) Calculate the length of a side. of an equilateral triangle with vertices on a circle of diameter 1 ceritimetre. ii). Calculate the perimeter of such a triạngle.

The equal sides of an isosceles triangle are 8 centimetres long and the radius of its circumcircle is 5 centirnetes. Calculate the length of its third side.

Calculate the perimeter of a square with vertices on a circle of diameter 1 centimetre.

The pictures shows a tangram of 7 pieces made by cutting a square of side 4 centimetres. Calculate the length of the sides of each piece.

A rod 28 centimetres long is to be bent to make a rectangle. i) Can a rectangle of diagonal 8 centimetres be made? ii) Can a rectangle of diagonal 10 centimetres be made? iii) How about a rectangle of diagonal 14 centimetres? Calculate the lengths of the sides of the rectangles that cán be made.

Calculate the perimeter of a regular hexagon with vertices on a circle of diameter 1 centimetre.

The perimeter of a regular hexagon with vertices on a circle is 24cm. i) What is the perimeter of a square with vertices on this circle? ii) What is țhe perimeter of a square with vertices on a circle of double the diameter?

In a right angled triangle, one of the perpendicular sides is 5 centimetres longer than the other and its area is 12 square centimetres. What are the lengths of its sides?

A rectangle is to be made with perimeter 100 centimetres and area 525 square centimetres. What should be the lengths of its sides?

Calculate the length of sides of quadrilateral. .