Question

Justify the statement a circle of radius 4cm can be drawn through two points a and b such that ab =6.2cm answer please...

Answer 1

Answer:

Yes a circle can be drawn from two points and a given radius. The steps to draw the circle are:

(1) construct a line AB of length 6.2 cm

(2) Draw the perpendicular bisector of the line AB

(3) From A draw an arc of 4 cm that cuts the perpendicular bisector at O

(4) Take either the distance OA or OB as radius and draw the circle by taking O as centre.

The theory behind this is that AB will be the chord of the circle. If O is the centre of the circle then any point from O perpendicular to AB will bisect the chord AB. OA and OB will be the radius of the circle.

Hope this answer is helpful.