Question

Using ruler and compasses only; draw a circle of radius 4 cm. Produce AB, a diameter of
this circle, upto point X so that BX = 4 cm. Construct a circle to touch AB at X and to
touch the circle, drawn earlier, externally.​

Answer 1

Answer:

sorry paper being smaller

take radius of bigger circle be 6cm and measure it from X perpendicularly and draw

Answer 2

drawn a circle of radius 4 cm ,

Step-by-step explanation:

Step 1 : Mark  a point O

Step 2 : using compass width 4 cm draw a circle taking O as center

Step 3 : Mark a point A on Circle

Step 4 : Draw a ray Starting A  passing through  B  and intersect circle at B

Step 5 : Take BX = 4 cm  on Ray drawn

Step 6 : using  compass width Slightly less than BX draw arc on both sides of BX taking B as center

Step 7 : Keeping compass width same m taking X as center draw arcs intersecting arc drawn in step 6 at P & Q

Step 8 : join PQ using ruler intersecting BX at M

Step 9 : taking compass width = BM or MX and taking M as center draw an circle Passing though B &  X

 

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