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Syllabus

Draw a regular pentagon and construct a square with area equal to the area of the pentagon.Also draw regular hexagon ,heptagon,octagon and their respective squares with area to the polygons.

Draw a quadrilateral of sides 2cm ,3cm,4cm,6cm and diagonal 5cm. Draw a square with area equal to that of the quadrilateral .

How can we construct such a figure?Draw a triangle of sides 4,5,6 cm draw a squrae of the same area.

If the opposite sides of a cyclic quadrilateral are extended to meet, say at points E and F, then the internal angle bisectors of the angles formed at points E and F are perpendicular.

The sides of a triangle are in the ratio 3:4:5

a) Where is its circumcentre located?

b) Into how many arcs do the sides of the triangle divide the circumcircle

c) What is theratio of the sum of the central angles of the shorter arcs and the cental angle of the longest arc?

^{2}What is SIMSON`S theory ? (related to point on the circum circle of a triangle)can i have a detailed veiw on it please?

"If the opposite sides .......points E and F are perpendicular".(,properties of cyclic quadrilaterals)What is ment by this?

Draw a rectangle of sides 5cm 4cm and draw a square of same area.

Draw a quadrilatral of sides 4,5,6,7cm and digonal 5cm and draw a square equql area?

draw a triangle of sides of 4,5,6 cms and draw a square of the same area

ALL FORMULA'S IN CHAPTER CIRCLES?

Q.2) Three vertices of a parallelogram are on a circle and the fourth vertex is at the center. Find the angles of the prallelogram.

A chord from A meets the circle at E.

Another chord from B meets the circle at D.

The chords AE and BD intersect at C inside the circle.

Then prove that;

(AE x AC) + (BD x BC) = AB

^{2}say how to do that problem easy

a) prove that OC and AB are parallel

b) find angle ABC and OBE.