question_answer

Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.

Answer:

Steps of construction-

(i) Draw two concentric circles of radii 3 cm and 5 cm

(ii) Mark a point P on larger circle such that \[OP=5\text{ }cm\]

(iii) Join OP and bisect it at M.

(iv) Draw a circle with M as centre and radius equal to MP to intersect the given circle at the points T and T?.

(v) Join PT and PT?.

Then, PT and PT? are the required tangents.