Question 11 (Choice 1) Construct two concentric circles of radii 3cm and 7cm. Draw two tangents to the smaller circle from a point P which lies on the bigger circle. Steps of construction
Steps of construction
Draw a circle of radius 3 cm with center O
Draw concentric circle of radius 7 cm, with center O
Mark point P on the larger circle
3. Join PO.
Make perpendicular bisector of PO
Let M be the midpoint of PO.
4. Taking M as centre and MO as radius,
draw a circle.
5. Let it intersect the given circle at points Q and R.
6. Join PQ and PR.
∴ PQ and PR are the required two tangents.
After measuring, lengths of tangents PQ and PR are 4.47 cm each
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.