Question

if two tangents are inclined at 90 degree are drawn to a circle of radius 6 cm find the length of each tangent​

Answer 1

Answer:

Let PA and PB be the two tangents to  a circle with centre O and radius 3

∴∠APO =∠BPO

=> 1/2 ×∠APB

=> 1/2 ×600

=> 30⁰

=> Also, OA⊥AP and OB⊥BP

=> In a right angled triangle OAP,

=> tan30⁰ = 3 / PA

⇒ 1 / √3 = 3 / PA

⇒ PA = 3√3cm

⇒ PA = PB = 33 √ cm

Step-by-step explanation:

I hope this will help you dear..

Always stay safe and stay healthy..