Draw a circle of radius 6 cm. from a point 10 cm away from its center construct the pair of tangents to the circle and measure their length with steps of construction.
Answers
Answer:
r=6 cm,d=10 cm,t=?
Tangent PQ=PR=8 cm
Steps of Construction:
1. A circle with radius 6 cm is drawn taking O
′
as center
2. Point P is marked at 10 cm apart from center of circle.
3. With the half of compass mark M which is the mid-point of OP.
4. A circle is drawn at M taking radius MO or MP which intersect the given circle at Q and R.
5. Now join PQ=PR=8 cm.
1. Take any point O of the given plane as centre , draw a circle of radiys 6 cm. Locate a point P ,10 cm away from O . Join OP
2. Bisect OP . Let M be the mid-point of OP.
3. Take M as centre and MO as radius , draw a circle.
4. Let this circle intersect the previous circle at point A and B.
5. Join PA and PB . PA and PB are the required tangents.
6. The length of PA and PB are 8cm each.
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