Draw a pair of tangents to a circle of radius 6cm which are inclined to each other at an angle of `60^0`. Also find the length of the tangent.
Step 1: Draw two concentric circles with focus O of 6cm
Step 2: Draw OA and OB with angle `120^0`
Step 3: Now, Draw ∠OAP = ∠OBP = `90^0`
Step 4: PA and PB are required digressions
Step 5: Now, Join OP
⇒ tan 30° = `6/"PA"`
⇒ `\sqrt{3}` = `6/"PA"`
⇒ PA = `6\sqrt{3}`
∴the length of the tangents are `6\sqrt{3}`cm