Mathematics
Use ruler and a pair of compasses only in this question :
(i) Draw a circle on AB = 6.4 cm as diameter.
(ii) Construct another circle of radius 2.5 cm to touch the circle in (i) above and the diameter AB produced.
Constructions
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Answer
(i) Steps of construction :
Draw a line segment AB = 6.4 cm
Draw perpendicular bisector of AB touching AB at point O.
With O as center and radius OA or OB draw a circle.
Draw a line LM parallel to AB at a distance of 2.5 cm.
With centre O and radius 3.2 + 2.5 = 5.7 cm, draw an arc intersecting the line LM at D.
With centre D and radius 2.5 cm, draw a circle which touches the given circle at E and AB produced at C.
Hence, above is the required circle.
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